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a) In many applications (such as evaluating frequency responses and interpolation), it is of interest to compute the DFT of a short sequence that is "zero-padded." In such cases, a specialized "pruned" FFT algorithm can be used to increase the efficiency of computation (Markel, 1971). In this problem, we will consider pruning of the radix-2 decimation-infrequency algorithm when the length of the input sequence is M ≤ 2μ and the length of the DFT is N = 2ν , where μ
b) Assume that the input sequence is of length M = 2; i.e., x[n] = 0 only for N = 0 and N = 1. Draw a new flow graph for N = 16 that shows how the nonzero input samples propagate to the output DFT; i.e., eliminate or prune all branches in the flow graph of part (a) that represent operations on zero-inputs.
(c) In part (b), all of the butterflies in the first three stages of computation should have been effectively replaced by a half-butterfly of the form shown in Figure P9.43, and in the last stage, all the butterflies should have been of the regular form. For the general case where the length of the input sequence is M ≤ 2μ and the length of the DFT is N = 2ν , where μ
A current filament is 5 mm long and is situated at x = 0, y = 4, z = - 3 parallel to the x-axis. If the filament carries a current of 3 A along ax , find H at the origin.
The light from a camera's electronic flash is produced when a high voltage, obtained by charging a capacitor, is applied to electrodes in a xenon-filled flash bulb. To what voltage would a 791. microfarad capacitor be charged by a 7.3. mA current ..
A three-phase, wye-connected, 400-V, four-pole, 60-Hz induction motor has primary leakage impedance of (1+j2) ohms and secondary leakage impedance referred to the primary at standstill of (1+j2) ohms.
Design a 6 bit DAC that accepts digital voltages of 0 V (meaning binary zero) and 2 V (meaning binaryone). The output must vary from +0 V (for code 000000) to +5 V (for code111111).
Let y1(t)=y2(t)=t-1 over 0
A combinational logic circuit has 3 outputs as described below: F1=Minterm(0,3,4) F2= minterm(1,2,7) F3= Maxterm=(0,1,2,4) Implement the circuit using a single decorder with active high outputs and external 2 input OR gates
Four frequencies are applied at the input of a non-linear amplifier. Write down all of the frequency components at the output of the non-linear device. Write down only the first three harmonics.
which shape has the smaller demagnetization factor: a thin film media along the direction perpendicular to the plane or a sphere along any central axis
Determine the settings Z1, Z2 & Z3 for the relay at B12.
DWDM optical transmission system is designed to have 100-GHz channel spacings. how many wavelength channels can be utilized in the 1536 to 1556 nm spectral band?
In the simulation, construct an arrangement of three charges in the shape of an equilateral triangle and find the net force on one of the charges. What happens as you move the charge between the other two charges?
An Internet service provider has three different subscription packages for its customers: Package A: For $9.95 per month 10 hours of access are provided. Additional hours are $2.00 per hour. Package B: For $14.95 per month 20 hours of access are pr..
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