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how to draw sketch of spectrum of x(t)

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moonnightingale

moonnightingale

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If x(t) =cos(1000*pi*t) how can i sketch its spectrum??? kindly tell me by matlab

What is minimum sampling rate that can be used to sample the signal without aliasing
What i think we can write it cos(2*pi*f*t)
so cos(2*pi*500*t)
so minimum freq should be 500*2 =1000 Hz (as per nyquist)
Am i right in doing so

---------- Post added at 08:03 ---------- Previous post was at 07:25 ----------

spectrum diagram gives frequency content of signal

---------- Post added at 08:03 ---------- Previous post was at 08:03 ----------

spectrum diagram gives frequency content of signal
 

1000Hz is your limit. You should sample at >1000 Hz. If you sample at EXACTLY 1000, you'll get into trouble (for example, you could just be sampling at the zero crossings!). By the way, here's a sketch of your (ideal) spectrum:

_____________|______________
 

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