(New page: == Part B. Find the Bug == The original code is displayed below. <pre> F0 =13; T0 =1/F0; Ts = 0.07; t = 0:Ts:13*T0; x = real(exp(j*(2*pi*F0*t-pi/2))); plot(t,x) </pre>) |
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| Line 8: | Line 8: | ||
Ts = 0.07; | Ts = 0.07; | ||
| + | |||
| + | t = 0:Ts:13*T0; | ||
| + | |||
| + | x = real(exp(j*(2*pi*F0*t-pi/2))); | ||
| + | |||
| + | plot(t,x) | ||
| + | </pre> | ||
| + | |||
| + | This code is supposed to display the real part of the complex exponential, which is a sine wave. This code actually produces a distorted sine, since the step size, Ts, is not sufficiently small to get enough data points to produce a smooth curve. | ||
| + | |||
| + | == Solution == | ||
| + | In order to correct this, one simply must adjust the step size, Ts, to get smaller readings, producing a smoother curve. The smaller the step size one chooses, the smoother the output curve will be. A step size of Ts/100 or even Ts/1000 will produce a sufficiently smooth sine wave. The new code is displayed below. | ||
| + | |||
| + | <pre> | ||
| + | F0 =13; | ||
| + | |||
| + | T0 =1/F0; | ||
| + | |||
| + | Ts = 0./1000 | ||
t = 0:Ts:13*T0; | t = 0:Ts:13*T0; | ||
Revision as of 10:53, 11 September 2008
Part B. Find the Bug
The original code is displayed below.
F0 =13; T0 =1/F0; Ts = 0.07; t = 0:Ts:13*T0; x = real(exp(j*(2*pi*F0*t-pi/2))); plot(t,x)
This code is supposed to display the real part of the complex exponential, which is a sine wave. This code actually produces a distorted sine, since the step size, Ts, is not sufficiently small to get enough data points to produce a smooth curve.
Solution
In order to correct this, one simply must adjust the step size, Ts, to get smaller readings, producing a smoother curve. The smaller the step size one chooses, the smoother the output curve will be. A step size of Ts/100 or even Ts/1000 will produce a sufficiently smooth sine wave. The new code is displayed below.
F0 =13; T0 =1/F0; Ts = 0./1000 t = 0:Ts:13*T0; x = real(exp(j*(2*pi*F0*t-pi/2))); plot(t,x)
