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1.) Three separate tones must be extracted from a noisy signal. The frequencies of the tones are 100 Hz, 300 Hz, and 450 Hz. The sampling rate is 1 kHz. Describe a low pass, a band pass, and a high pass filter that could be used to detect the individual tones. The cut-off frequency (or frequencies) for each filter should be 50 Hz from the tone it must detect. Identify the filter types, the cut-off frequencies, and the bandwidths.
2.) The impulse response of a filter is given by h[n]=delta[n-1]-0.28[n-2].
The input to the filter is x[n]=u[n]-u[n-7].
a.) Find the output.
b.) In (a), identify those output samples influenced by boundary effects.
3.) If the bandwidth of a low pass filter is 2 kHz, what is its cut-off frequency?
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The following 4 differential equations describe mass spring systems. Identify each system as either undamped, overdamped, underdamped, or critically damped (Justify your answer). Determine the angular frequency and period for the undamped and the ..
a. Plot the spectra of X(w) = t sinc(wt/2). Let t = 1 and -20 =
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The signal transmitted by a Base Station has a power of 1 mW at a distance of 1 m from the transmitter. Measurements have shown that the propagation exponent for the path loss is n=3 up to a distance of 1 km and n=4 beyond that.
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