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- * [[HW1.4 Ryan Scott - Period and Non-Periodic Functions_ECE301Fall2008mboutin]] * [[HW1.4 Hang Zhang - Periodic vs Non-period Functions_ECE301Fall2008mboutin]]24 KB (3,272 words) - 06:58, 1 September 2010
- The function <math>f(t)=sin(t-T)</math> is periodic, with a period of <math>T=2\pi</math>. This means that for <math>T=2n\pi</math>, n an int ...dic function does not remain self-similar for all integer multiples of its period. A decaying exponential is an example of a non-periodic function. The dis1 KB (206 words) - 07:09, 14 April 2010
- ...d be the Cosine function. Notice that it repeat itself time to time with a period of <math>2\pi</math>645 B (90 words) - 07:11, 14 April 2010
- The Function :<math>f(x) = sin(x)\,\!</math> is a periodic function with a Period :<math>T = 2*\pi\,\!</math>. This sine wave function repeats itself every period of :<math> 2*\pi,\!</math>1 KB (180 words) - 07:13, 14 April 2010
- ...xists an integer N such that x[n+N] = x[n]. The value of N is called the "Period."1 KB (212 words) - 07:15, 14 April 2010
- * We can see repeated x^2 that repeated itself every period of 4.519 B (70 words) - 07:18, 14 April 2010
- A periodic function is a function which repeats over a period of time. A good example of periodic functions are: As you can see, this function repeats itself with a period of <math>2\pi</math>1 KB (228 words) - 07:10, 14 April 2010
- A periodic function is one that repeats over a certain time interval. The period of the following, <math>y=sin(x)</math>, is <math>2\pi </math>.574 B (85 words) - 07:19, 14 April 2010
- ...xists an integer N such that x(n+N) = x(n). The value of N is called the "period".1 KB (265 words) - 06:12, 2 February 2011
- ...the approximation is so big that it only take approximate 1 point in each period, which is not adequate for sketching the graph.437 B (78 words) - 09:54, 6 September 2008
- ...unction is a function that repeats itself after a certain time, called the period. ...function is shown below, the tangent function. The tangent function has a period of <math>pi</math>.1,003 B (148 words) - 07:21, 14 April 2010
- Since we know that tan(t) repeats itself after every period of <math> t = \pi</math> , we know that x(t) is a periodic signal.1 KB (205 words) - 07:20, 14 April 2010
- y = sinx <-- This is very basic periodic fuction.(period time = 2<math>\pi</math>) y = cosx <-- This is also very basic periodic function.(period time = 2<math>\pi</math>)742 B (104 words) - 07:23, 14 April 2010
- ...N = [any even number] would also work. N = 2 is called the '''fundamental period''' because it is the smallest of all possible N.)2 KB (279 words) - 07:18, 14 April 2010
- A periodic function is a function that has repeating values after a certain period of time and keeps repeating as time continues.732 B (100 words) - 07:24, 14 April 2010
- ==Period Functions==20 B (2 words) - 13:51, 4 September 2008
- % Sampling period3 KB (516 words) - 16:38, 4 September 2008
- ...2\pi</math> when <math>t = \frac{\pi}{5}</math>. This is the fundamental period.879 B (140 words) - 07:25, 14 April 2010
- ...gnal. It's period is 4*k, where k is an integer. However, it's fundamental period is 4.883 B (143 words) - 07:24, 14 April 2010
- j^n has a period of 4.856 B (140 words) - 07:26, 14 April 2010
- ...mplitude of the function. When the graphs of two functions having the same period and frequency repeat at different values of the independent variable (x), t An aperiodic function (non-periodic function) is one that has no period which repeats itself (not to be confused with an antiperiodic function for2 KB (274 words) - 07:27, 14 April 2010
- ...:sinwave_ECE301Fall2008mboutin.jpg|thumb|A wavy sinusoidal wave that has a period of 2 pi]]634 B (89 words) - 07:28, 14 April 2010
- In discrete time, a function is period if there exists an integer N such that x[n+N] = x[n] ...ample of a continuous time periodic function would be x(t) = cos(t) with a period of 2*pi.796 B (137 words) - 07:18, 14 April 2010
- Periodic functions are functions that repeat over and over for a specific period. More specifically, a function is periodic if there exists some number T>0 One common example of this is the tangent function, which has a period of \pi.648 B (117 words) - 20:01, 4 September 2008
- x[n]=j^n, is periodical with fundemental period N0=4.835 B (141 words) - 07:26, 14 April 2010
- ...ere exists a number such that x(t+T) = x(t). The value of T is called the "period". ...'''''integer''''' N such that x[n+N] = x[n]. The value of N is called the "period".873 B (149 words) - 17:24, 4 September 2008
- ...has a fundamental period of two Pi. Therefore any multiple of two Pi is a period.1 KB (221 words) - 12:21, 5 September 2008
- ...strated above, the function is clearly periodic, and has 4 as the smallest period.656 B (115 words) - 06:13, 5 September 2008
- A function is period if there is a time interval <math>T > 0\!</math>, such that the value for t ...fundamental period. Every other value of <math>T\!</math> is just another period.2 KB (300 words) - 20:02, 4 September 2008
- Note: N is the period of the signal.1 KB (209 words) - 09:49, 5 September 2008
- Over an infinite period of time <br>647 B (89 words) - 21:00, 4 September 2008
- ...such that <math>\,x(t+T)=x(t)\,</math>. In this example, the fundamental period is <math>\,2\pi\,</math>, which one possible value for <math>\,T\,</math>.960 B (150 words) - 21:01, 4 September 2008
- ...> gives the original function since <math>2\pi</math> is the ''fundamental period'' of <math>x(t) = sin(t)</math> ...that <math>x[n + N] = x[n]</math> for all <math>n</math>. The fundamental period of the sine function is <math>2\pi</math>, which is not an integer. Further1 KB (189 words) - 21:21, 4 September 2008
- y = sin(3x) is a continuous function and has a period of 2pi/3, like shown on the graph below.438 B (72 words) - 21:53, 4 September 2008
- The first signal is a triangular wave which has period of 10 seconds. The second signal is a bunch of noises.656 B (87 words) - 21:36, 4 September 2008
- For all Y(t) and Y(x) Y is equal to 2. The period can be any integer greater than except 0.175 B (35 words) - 03:36, 5 September 2008
- For all Y(t) and Y(x) Y is equal to 2. The period can be any integer greater than except 0.685 B (102 words) - 07:16, 14 April 2010
- ...shift should not effect the energy or power of periodic function over one period (0 to 2<math>\pi</math> in this case).1 KB (169 words) - 18:20, 5 November 2010
- x(t) = <math>e^{n*j*w*t}</math> can be a periodic function. The period is <math>(2 * pi) / w</math>. If <math>w / (2 * pi)</math> is a rational n831 B (141 words) - 08:17, 5 September 2008
- ...r all values of t ,for some T not equal to zero,then x(t) is periodic with period T. ...(n)=x(n+N) for all values of n ,some integer N ,then x(n) is periodic with period N.960 B (171 words) - 07:13, 14 April 2010
- ...after 4 and after every 4 values. So the given function is periodic with a period of 4.566 B (79 words) - 09:16, 5 September 2008
- In CT the cosine function cos(t) is a periodic function with fundamental period T = 2π. This comes from the definition of periodic systems. A function x(563 B (104 words) - 09:23, 5 September 2008
- =Non-period Function=597 B (102 words) - 10:11, 5 September 2008
- ...ence of a single period instead of multiple periods, singly periodic) with period ...is periodic with least period <math> 2\pi </math> (often simply called the period)597 B (99 words) - 14:24, 5 September 2008
- periodic functions, all with the same period. ...eated at regular intervals. More explicitly, a function f is periodic with period P greater than zero if1 KB (253 words) - 07:04, 14 April 2010
- The power over a time period t1 to t2 is calculated by The energy of <math>y(t) = e^{t}</math> over the time period 0 to 2 seconds is found as follows:1,016 B (167 words) - 15:48, 5 September 2008
- ...odic function''' is a function that repeats its values after some definite period has been added to its independent variable. This property is called periodi ...eated at regular intervals. More explicitly, a function f is periodic with period P greater than zero if2 KB (291 words) - 07:03, 14 April 2010
- ...ence of a single period instead of multiple periods, singly periodic) with period if p is the Fundamental Period813 B (113 words) - 07:03, 14 April 2010
- ...riodic function is "a function that repeats its values after some definite period has been added to its independent variable." That is to say that x(t) = x(t688 B (113 words) - 07:12, 14 April 2010
- ...odic function''' is a function that repeats its values after some definite period has been added to its independent variable. This property is called periodi The function repeats itself in a certain period which is <math>2\pi</math> so it's a periodic function.990 B (171 words) - 18:37, 5 September 2008