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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 400-V three-phase, wye-connected synchronous motor delivers 12 hp at the shaft and operates at 0.866 lagging power factor. The total iron, friction, and field copper losses are 1200 W.
an electrical transformer dissipates heat equivalent of 3000 kW/h. the inlet and outlet temperatures of the cooling water are 55C and 15C respectively. calculate the mass of the cooling water in a minute.
What are two causes of core loss for a coil with an iron core excited by an ac current? What considerations are important in minimizing loss due to each of these causes? What happens to the power loss in each case if the frequency of operation is ..
The voltage v(t)= 359.3 cos(wt) volts is applied to a load consisting of a 10 ohms resistor in parallel with a capacitive reactance Xc=25 ohms. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by..
purposethe aim of this experiment is to develop a bipolar transistor amplifier with a voltage gain of minus 25. the
In most situations it is also desirable to send information from the process to be controlled--in this case the 500-gallon tank--to a central station for processing and storage. This information can be transmitted and processed in different ways.
If the SNR must be greater than 40 dBm, how far backed-off must the amplifier operate. Assume noise comes from a third-order intermodulation between two interferers with the same power level as the wanted signal.
A DC motor has the following characteristics. Rating: 35kW Operation: 350 V, draws 90A, operates at a speed of 1100 rev/min when supplying full load. Shunt: Field resistance is 150 Ohm and armature resistance is 0.5 Ohm
Analysis of z transform to time domain, poles and zeros, From a given z transform X(z) = {1- z^-10}/{1 - z^-1} the discrete time domain form x(n) is deduced using complex manipulation and inverse transforms to arrive at x(n) = x(n-1) + u(n) - u(n-..
At point 1 on the streamline, the pressure and velocity are 2116 lb/ft2 and 10 ft/s, respectively. Further downstream, at point 2 on the streamline, the velocity is 190 ft/s. Calculate the pressure at point 2. What can you say about the relative c..
where the assigned loop current leaves the voltage source. If current leaves the voltage source at its positive terminal, the voltage would be positive and if it leaves the voltage source at its negative terminal,the voltage would be negative.
A rifle fires a 1.20 x 10-2-kg pellet straight upward, because the pellet rests on a compressed spring that is released when the trigger is pulled. The spring has a negligible mass and is compressed by 6.74 x 10-2 m from its unstrained length.
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