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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
using 1/(s+2)(s+4) + c find when the poles are repeated and use that value to calculate the impulse response using laplace transforms. Calculate the step response when c = 10 using Laplace transforms.
1three resistors r1 r2 and r3 are connected in series and a supply voltage of 240 v. if r2 2r1 r3 3r1 and the total
we know Ktw=1 Nm(rad/s) and its's rated torque 30Nm for the synchronous frequency 60 H. If this motor is running at 60Hz, its load torque changes from 30 to 10 Nm, what is the new motor speed.
For a two-tone input, use (10.43) to find the amplitude of the third-order intermodulation product, then use (10.44) to relate OP1dB to OIP3.
(e) What is the probability of error if we make hard-decision on each branch and then use majority-logic combining to make the final decision (f) What is the probability of error if we select the "best" two branches, and then use MRC with these two..
A second infinite planecarrying a uniform chargedensity s2 = 45 nC/m2 intersectsthe xz plane at the z axisand makes an angle of 30° with the xz planeas. Find the electric field inthe xy plane at each of the following locations.
If a cache being simulated were allowed to have a block size of 4 bytes, what optimization would be possible for blocks of that size that is not possible for block sizes 8 bytes and above
Each pole of a 100kW, 250v flet-compound generator has a shunt field of 2000 turns and a series field of 7 turns. If the total shunt field resistance is 100 ohms, calculate mmf when the machine operates at rated voltage.
Calculate the magnetic flux density B(vector) at a point P specified in spherical coordinates. Express the answer in terms of the magnetic dipole moment m(vector) . For full credit, fill all the details and justify all the assumptions adopted.
Draw the circuit symbol for an n pn BJT. Label the terminals and the currents. Choose reference directions that agree with the true current directions for operation in the active region.
draw a gate level schematic of a 4bit ALU that can ADD, Subtract, and AND. include the use of an adder/subtractor unit consisting of 4 full adders, and 4-bit 2:1 mutiplexer. No diagrams, gate level schematic only.
It costs $30,000 to retrofit the gasoline pumps at a certain filling station so the pumps can dispense E85 fuel. if the station makes a profit of $0.08 per gallon from selling E85 and sells an average of 20,000 gallons of E85 per month
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