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Signals and Systems by Smarajit Ghosh

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1.7 CONCEPT OF FREQUENCY IN DISCRETE TIME SIGNALS

Let us find out the representation of frequency for discrete time signals and also the relationship between sampling frequency, continuous time frequency and discrete time frequency. Let us consider the following analog signal:

 

x(t) = A cos(ωt + ϕ), − < t <      (1.35)

 

The above represented analog signal is a continuous cosine wave having amplitude, frequency and phase A, ω and Φ respectively where ω = 2 π f. The above expression can also be written as

 

x(t) = A cos(2π ft + ϕ), − < t <      (1.36)

 

image

 

Equation (1.37) shows that the cosine wave can be expressed in terms of two equal ...

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