December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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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)
Equation (1.37) shows that the cosine wave can be expressed in terms of two equal ...
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