4. Assume that we have a digital signal x(n) obtained from sampling an analogue signal x(t). If x(n) contains N = 1000 s
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4. Assume that we have a digital signal x(n) obtained from sampling an analogue signal x(t). If x(n) contains N = 1000 s
4. Assume that we have a digital signal x(n) obtained from sampling an analogue signal x(t). If x(n) contains N = 1000 samples and was obtained at a sample rate of fs = 5000 Hz: a) Calculate the resolution of the Discrete Fourier Transform (DFT) of x(n) (in Hz). b) What is the highest frequency spectral component that can be present in the analog signal x(t) where no aliasing errors occur in x(n)? c) It takes approximately 40 nano-seconds to complete one complex multiplication on a computer. Estimate the time it takes that computer to calculate the Discrete Fourier Transform (DFT) and the Fast Fourier Transform (FFT) of signal x(n).
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