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[[:Category:Problem_solving|Practice Problems]] for Signals and Systems  
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[https://www.projectrhea.org/learning/practice.php Practice Problems] on Signals and Systems  
 
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([[ECE301]])
 
([[ECE301]])
 
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----
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<div style="font-family: Verdana, sans-serif; font-size: 14px; text-align: justify; width: 70%; margin: auto; border: 1px solid #aaa; padding: 2em;">
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==Related Subtopics ==
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*[[CT_Fourier_series_practice_problems_list|Problems on continuous-time Fourier series]]
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*[[CT_Fourier_transform_practice_problems_list|Problems on continuous-time Fourier transform]]
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</div>
 
----
 
----
 
==Collectively solved problems related to Signals and Systems==  
 
==Collectively solved problems related to Signals and Systems==  
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**[[Magnitude complex CT signals ECE301S11|Compute the magnitude of these two CT signals]]  
 
**[[Magnitude complex CT signals ECE301S11|Compute the magnitude of these two CT signals]]  
 
**[[Magnitude complex DT signals ECE301S11|Compute the magnitude of these three DT signals]]  
 
**[[Magnitude complex DT signals ECE301S11|Compute the magnitude of these three DT signals]]  
*Signal Power and Energy  
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*Signal [[Signal_power_CT|Power]] and [[Signal_energy_CT|Energy]] in CT
**[[Signal power energy exercise CT ECE301S11|Compute the power and energy of the following CT signal]]  
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**[[Signal power energy exercise CT ECE301S18 exponential|Compute the power and energy of a (CT) exponential]]
 +
**[[Signal power energy exercise CT ECE301S18 sin|Compute the power and energy of a (CT) sine]]
 +
**[[Signal power energy exercise CT ECE301S11|Compute the power and energy of a complex (CT) exponential]]
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**[[HW1.5_Brian_Thomas_-_Energy_and_Power_of_a_Complex_Signal_over_Infinite_Time_ECE301Fall2008mboutin|Energy of x(t)= cos(t)+j sin(t)]]
 +
**[[Calculating_E_infinity_and_P_infinity_-_Jonathan_Chu_(Chu7)|Compute the power and energy of t times a step function]]
 +
**[[Calculating_E_infinity_and_P_infinity_-_Stuart_Pulliam_(spulliam)|Compute the power and energy of 2 times t squared]]
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**[[Vishal_Ramani_vramani|Compute the power and energy of a square root]]
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**[[Calculating_E_infinity_and_P_infinity_-_Tylor_Thompson_(thompso7)|Compute the power and energy of a square root times a step function]]
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**[[E_infinity_and_P_infinity_-_Evan_Witkoske|Compute the power and energy of 5 j times sin(t)]]
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**[[P_infinity_2j|Compute the power of 2j ]]
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*Signal Power and Energy in DT
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**[[Signal power energy exercise DT ECE301S18|Compute the power and energy of the following DT exponential signal]]  
 
**[[Signal power energy exercise DT ECE301S11|Compute the power and energy of the following DT signal]]  
 
**[[Signal power energy exercise DT ECE301S11|Compute the power and energy of the following DT signal]]  
 
*Transformation of the independent variable  
 
*Transformation of the independent variable  
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**[[output_of_LTI_CT_system_by_convolution_no4_ECE301S11|Compute the output of the following CT LTI system]]
 
**[[output_of_LTI_CT_system_by_convolution_no4_ECE301S11|Compute the output of the following CT LTI system]]
 
*Computing the Fourier series coefficients of a CT signal
 
*Computing the Fourier series coefficients of a CT signal
**[[Fourier_series_coefficients_sinusoidal_CT_ECE301S11|Obtain the Fourier series coefficients of this CT sinusoidal]]
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**See [[CT_Fourier_series_practice_problems_list|subtopic page]] for a list of all problems on Fourier series of a CT signal
**[[Fourier_series_coefficients_pulse_train_CT_ECE301S11|Obtain the Fourier series coefficients of this CT pulse-train]]
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**[[Fourier_series_coefficients_of_a_periodic_square_wave_period_two|Fourier series of a square wave]]
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**[[Fourier_series_coefficients_student_1|Fourier series of |sin(pi t)|]]
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**[[Recommended_exercise_Fourier_series_computation|A page containing several practice problems on computing Fourier series of a CT signal]]
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*Computing the Fourier series coefficients of a DT signal
 
*Computing the Fourier series coefficients of a DT signal
 
**[[Fourier_series_coefficients_sinusoidal_DT_ECE301S11|Obtain the Fourier series coefficients of this DT sinusoidal]]
 
**[[Fourier_series_coefficients_sinusoidal_DT_ECE301S11|Obtain the Fourier series coefficients of this DT sinusoidal]]
 
**[[Fourier_series_coefficients_pulse_train_CT_ECE301S11|Obtain the Fourier series coefficients of this DT pulse-train]]
 
**[[Fourier_series_coefficients_pulse_train_CT_ECE301S11|Obtain the Fourier series coefficients of this DT pulse-train]]
 
**[[Recommended_exercise_Fourier_series_computation_DT|A page containing several practice problems on computing Fourier series of a CT signal]]
 
**[[Recommended_exercise_Fourier_series_computation_DT|A page containing several practice problems on computing Fourier series of a CT signal]]
*Computing the Fourier transform of a continuous-time signal:
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*Fourier transform of a continuous-time signal:
**[[Fourier_transform_etu_CT_ECE301S11|Compute the Fourier transform of e^-t u(t)]]
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**See [[CT_Fourier_transform_practice_problems_list|subtopic page]] for a list of all problems on Fourier transform of a CT signal
**[[Fourier_transform_cosine_CT_ECE301S11|Compute the Fourier transform of cos(2 pi t).]]
+
**[[Fourier_transform_cosine_no2_CT_ECE301S11|Compute the Fourier transform of cos(2 pi t + pi/12).]]
+
**[[Fourier_transform_periodic_rectangular_pulse_train_CT_ECE301S11|Compute the Fourier transform of a rectangular pulse-train]]
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**[[Fourier_transform_periodic_triangular_pulse_train_CT_ECE301S11|Compute the Fourier transform of a triangular pulse-train]]
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*Properties of the Fourier transform of a continuous-time signal:
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**[[Problem_on_time_shifting_and_time_scaling_property_of_Fourier_transform_ECE301S11Boutin|Derive a relationship between the FT of x(3t+7) and that of x(t)]]
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*Computing the Fourier transform of a discrete-time signal:
 
*Computing the Fourier transform of a discrete-time signal:
 
**[[Fourier_transform_3numinusn_DT_ECE301S11|Compute the Fourier transform of 3^n u[-n]]]
 
**[[Fourier_transform_3numinusn_DT_ECE301S11|Compute the Fourier transform of 3^n u[-n]]]
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**[[Signal modulation with cosine ECE301S11|Demodulation of signal modulated with cosine]]  
 
**[[Signal modulation with cosine ECE301S11|Demodulation of signal modulated with cosine]]  
 
*Z-transform  
 
*Z-transform  
 +
**[[Practice_prove_modulation_property_z_transform|Prove the modulation property of the z-transform]]
 
**[[Compute z-transform u n ECE301S11|Computation of the z-transform]]  
 
**[[Compute z-transform u n ECE301S11|Computation of the z-transform]]  
 
**[[Compute z-transform u -n ECE301S11|Another computation of the z-transform]]  
 
**[[Compute z-transform u -n ECE301S11|Another computation of the z-transform]]  
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**[[practice_z_transform_computation_1_ECE438F13|Compute this z-transform]]
 
**[[practice_z_transform_computation_1_ECE438F13|Compute this z-transform]]
 
**[[practice_z_transform_computation_2_ECE438F13|Compute this z-transform]]
 
**[[practice_z_transform_computation_2_ECE438F13|Compute this z-transform]]
 
+
**[[practice_z_transform_computation_3_ECE438F13|Compute this z-transform and obtain Fourier transform]]
 +
**[[Practice_Question_inverse_z_transform_1_ECE438F13|Obtain the inverse z-transform]]
 +
**[[Practice_Question_inverse_z_transform_2_ECE438F13|Obtain the inverse z-transform]]
 +
**[[Practice_Question_inverse_z_transform_3_ECE438F13|Obtain the inverse z-transform]]
 +
**[[Practice_Question_inverse_z_transform_4_ECE438F13|Obtain the inverse z-transform]]
 +
**[[Practice_Question_inverse_z_transform_5_ECE438F13|Obtain the inverse z-transform]]
 +
**[[Practice_Question_inverse_z_transform_6_ECE438F13|Obtain the inverse z-transform]]
 +
**[[Practice_Question_inverse_z_transform_example_S15|Obtain the inverse z-transform]]
 
----
 
----
 
=Problems from the official textbook (Oppenheim WIllsky)=
 
=Problems from the official textbook (Oppenheim WIllsky)=
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*[[4.5_ECE301Fall2008mboutin]]
 
*[[4.5_ECE301Fall2008mboutin]]
 
*[[ECE_301_Fall_2007_mboutin_Homework_5|Discussion about problem 5.31]]
 
*[[ECE_301_Fall_2007_mboutin_Homework_5|Discussion about problem 5.31]]
 +
----
 +
==Quizzes with solution==
 +
*From instructor Jang, Summer 2015
 +
**[[Media:301Quiz1.pdf|Quiz 1. Linear and Time Invariant]] (pdf)
 +
**[[Media:301Quiz2.pdf|Quiz 2. Convolution of Two Rectangles]] (pdf)
 +
**[[Media:301Quiz3.pdf|Quiz 3. Continuous-Time Fourier Transform Exercise]] (pdf)
 +
**[[Media:301Quiz4.pdf|Quiz 4. Continuous-Time Fourier Transform Equation]] (pdf)
 +
**[[Media:301Quiz5.pdf|Quiz 5. Nyquist Sampling Theorem]] (pdf)
 +
**[[Media:301Quiz6.pdf|Quiz 6. Discrete-Time Fourier Transform Exercise]] (pdf)
 +
**[[Media:301Quiz7.pdf|Quiz 7. Sampling Theory]] (pdf)
 
----
 
----
 
==More Practice Problems==
 
==More Practice Problems==
*On Fourier series coefficient computation
 
**[[HW4.1_Adrian_Delancy_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
**[[HW4.1_Ananya_Panja_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
**[[HW4.1_Nicholas_Gentry_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
**[[HW4.1_Wei_Jian_Chan_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
** [[HW4.1 Carlos Leon_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
** [[HW4.1 Austin Melnyk_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]] CT signal in terms of sines and cosines.
 
** [[HW4.1 Ronny Wijaya_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]] CT signal in terms of sines and cosines.
 
** [[HW4-1 Steve Anderson_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]] CT signal in terms of sines and cosines.
 
** [[HW4.1 Kathleen Schremser_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
** [[HW4.1 Max Paganini_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]] CT signal in terms of sines and cosines.
 
**[[HW4.1 Miles Whittaker_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
** [[HW4.1 Scott Erdbruegger_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
** [[HW4.1 Jungu (Joe) Choi _ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]
 
** [[HW4.1 I-Cheng CHen_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
** [[HW4.1 Emily Blount_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
** [[HW4.1 Ben Laskowski_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
** [[HW4.1 Travis Safford_ECE301Fall2008mboutin|Example of computation of Fourier series coefficients for CT signal]]
 
** [[HW4.1 Ryan Scott_ECE301Fall2008mboutin]]
 
** [[HW4.1 Daniel Morris_ECE301Fall2008mboutin]]
 
** [[HW4.1 Naman Chopra_ECE301Fall2008mboutin]]
 
** [[HW4.1 Phil Cannon_ECE301Fall2008mboutin]]
 
** [[HW4.1 Virgil Hsieh_ECE301Fall2008mboutin]]
 
** [[HW4.1 Nicholas Gentry_ECE301Fall2008mboutin]]
 
** [[HW4.1 Tyler Houlihan_ECE301Fall2008mboutin]]
 
** [[HW4.1 Sean Ray_ECE301Fall2008mboutin]]
 
** [[HW4.1 Xujun Huang_ECE301Fall2008mboutin]]
 
** [[HW4.1 Paul Scheffler_ECE301Fall2008mboutin]]
 
** [[HW4.1 Ben Horst_ECE301Fall2008mboutin]]
 
** [[HW4.1 Heotng Li_ECE301Fall2008mboutin]]
 
** [[HW4.1 Justin Kietzman_ECE301Fall2008mboutin]]
 
** [[HW4.1 Jeff Kubascik_ECE301Fall2008mboutin]]
 
** [[HW4.1 Eric Smith_ECE301Fall2008mboutin]]
 
** [[HW4.1 Mark Frankosky_ECE301Fall2008mboutin]]
 
** [[HW4.1 Collin Phillips_ECE301Fall2008mboutin]]
 
** [[HW4.1 Cory Ocker_ECE301Fall2008mboutin]]
 
** [[HW4.1 Josh Long_ECE301Fall2008mboutin]]
 
** [[HW4.1 Nathan Najdek_ECE301Fall2008mboutin]]
 
** [[HW4.1 Sangwan Han_ECE301Fall2008mboutin]]
 
** [[HW4.1 David Hartmann_ECE301Fall2008mboutin]]
 
** [[HW4.1 Christen Juzeszyn_ECE301Fall2008mboutin]]
 
** [[HW4.1 Jun Hyeong Park_ECE301Fall2008mboutin]]
 
** [[HW4.1 David Record_ECE301Fall2008mboutin]]
 
** [[HW4.1 Kevin Hoyt_ECE301Fall2008mboutin]]
 
** [[HW4.1 William Schmidt_ECE301Fall2008mboutin]]
 
** [[HW4.1 Nicholas Block_ECE301Fall2008mboutin]]
 
** [[HW4.1 Hang Zhang_ECE301Fall2008mboutin]]
 
** [[HW4.1 Jack Williams_ECE301Fall2008mboutin]]
 
** [[HW4.1 Kofo Adafin_ECE301Fall2008mboutin]]
 
** [[HW4.1 Scott Hamilton_ECE301Fall2008mboutin]]
 
** [[HW4.1 Sang Mo Je_ECE301Fall2008mboutin]]
 
** [[HW4.1 Seung Seob Lee_ECE301Fall2008mboutin]]
 
** [[HW4.1 Naman Anand Verma_ECE301Fall2008mboutin]]
 
 
*On Fourier transform
 
*On Fourier transform
 
**[[Correct_CT_FT_1_ECE301Fall2008mboutin|Fourier transform problem]]
 
**[[Correct_CT_FT_1_ECE301Fall2008mboutin|Fourier transform problem]]
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*[[ECE_301_Fall_2007_mboutin_Convolution|Example of CT convolution]]
 
*[[ECE_301_Fall_2007_mboutin_Convolution|Example of CT convolution]]
 
*[[Exercise_1_ECE301Fall2008mboutin|Is this system time-invariant?]]
 
*[[Exercise_1_ECE301Fall2008mboutin|Is this system time-invariant?]]
 +
*[[InverseZtransform|Inverse z-transform: summary of theory and practice examples with solutions]]
 
*[[Examples_ECE301Fall2008mboutin|practice problems (mostly on Fourier transform)]]
 
*[[Examples_ECE301Fall2008mboutin|practice problems (mostly on Fourier transform)]]
 
*[[ECE301_S11_Exam_3_more_practice|Finale exam practice (written by a student)]]
 
*[[ECE301_S11_Exam_3_more_practice|Finale exam practice (written by a student)]]
 
----
 
----
 
[[ECE301|Back to ECE301: "Signals and Systems"]]
 
[[ECE301|Back to ECE301: "Signals and Systems"]]

Latest revision as of 10:25, 22 January 2018


Practice Problems on Signals and Systems

(ECE301)



Collectively solved problems related to Signals and Systems


Problems from the official textbook (Oppenheim WIllsky)


Quizzes with solution


More Practice Problems


Back to ECE301: "Signals and Systems"

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