Given an analog signal x(t) = 5 cos(2π x 2000t) + 1 cos(2m x 3000t) for t≥0 which is sampled at a rate of 8000 Hz. (a) Sketch the spectrum of the sampled signal up to 8 kHz. (b) (b) Sketch the recovered analog signal spectrum if an ideal bandpass filter with a cutoff frequency of (4 kHz to 8 KHz) is used to recover the original signal y(n) = x(n)

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A: The expression for the radiofrequency pulse is given as:

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A: The Circuit is given as To find the transfer function, make the dc voltage source short circuit.

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Q: 5. Given the spectrum of a continuous-time signal as shown below -20π X(w) 10 20πt Sketch the…

A:

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Filter

A filter is a device or process which removes some of the unwanted features or components like frequencies from a signal in signal processing. The feature of filters is the complete or partial suppression of some part of the signal, and filtering is a class of signal processing. This most often means removing some frequency bands or some frequencies. In the frequency domain, the filters do not exclusively act, especially in the image processing field many other targets for filtering exist. Without having to act in the frequency domain, the correlations can be removed for certain frequency components and not for others. The filters are widely used in electronics and telecommunication, in television, radio, radar, audio recording, music synthesis, control systems, computer graphics, and image processing.