Given the sequence in Figure 4.47 where fs ¼ 100 Hz and T ¼ 0:01 sec:, compute the amplitude spectrum, phase spectrum, and power spectrum using the a. triangular window; b. Hamming window; c. Hanning window.

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4.19. Given the sequence in Figure 4.47 where fs =100 Hz and T = 0.01 sec., compute the amplitude spectrum, phase spectrum, and power spectrum using the a. triangular window; b. Hamming window; c. Hanning window. x(n) 4 3 2 2 1 0 FIGURE 4.47 Data sequence for Problem 4.19. T₁ = NT 5 n 3 4 -1

Given the sequence in Figur } x(n) 3 2 5 2 3 To=NT FIGURE Data sequence in Problem 4.11. where f, = 100 Hz and T = 0.01 sec, compute the amplitude spectrum, phase spectrum, and power spectrum using the a. triangular window. b. Hamming window. c. Hanning window. 4. 2.

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A rectangular wave guide with inner dimensions 6 cm x 3 cm has been designed for a single mode operation. Find the possible frequency range of operations such that the lowest frequency is 5% above the cut off and the highest frequency is 5% below the cut off of the next higher mode.

Imagine a two-dimensional system in which a sinusoidal waveform is excited at the exact center of a circular plate. The standing wave pattern is established when the excited wave two-dimensionalwaveforms for a stable equilibrium pattern of constructive and destructive interference with the reflected waves from the edge of the circular plate. Draw what you expect the standing wave patterns to look like in this two-dimensional system for increasing resonant harmonics, n. Explain what characteristics of the oscillating plate affect the value of those resonancefrequencies, and what geometric properties of the plate affect the patterns.

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