Consider the second-order differencing filter described by the input-output relationship y[n] = x[n + 1] - 2x[n] + x[n – 1] I) Show that the complex frequency response H(el@) is actually real-valued. What is the output of the filter when the input is x[n] = cos(wn) (for all n n)? For what value(s) of w is the output zero for all n? I) Determine and sketch the response y[:] of the filter to the input signal 3-n n > 0 { x[n] n = 0 -3n n < 0

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A: Bartleby has policy to solve only first 3 subparts of a question. Reupload the question.

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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.