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In implementing an FFT algorithm, it is sometimes useful to generate the powers of WN with a recursive difference equation, or oscillator. In this problem we consider a radix-2 decimation-in-time algorithm for N = 2ν . Figure 9.11 depicts this type of algorithm for N = 8. To generate the coefficients efficiently, the frequency of the oscillator would change from stage to stage. Assume that the arrays are numbered 0 through ν = log2 N, so the array holding the initial input sequence is the zeroth array and the DFT is in the vth array. In computing the butterflies in a given stage, all butterflies requiring the same coefficients Wr N are evaluated before obtaining new coefficients. In indexing through the array, we assume that the data in the array are stored in consecutive complex registers numbered 0 through (N - 1). All the following questions are concerned with the computation of the mth array from the (m-1)st array, where 1 ≤ m ≤ ν. Answers should be expressed in terms of m.
(a) How many butterflies must be computed in the mth stage? How many different coef- ficients are required in the mth stage?
(b) Write a difference equation whose impulse response h[n] contains the coefficients Wr N required by the butterflies in the mth stage.
(c) The difference equation from part (b) should have the form of an oscillator, i.e., h[n] should be periodic for n ≥ 0. What is the period of h[n]? Based on this, write an expression for the frequency of this oscillator as a function of m.
Unpolarized light of intesity Io is incident on a polarizer-analyzer pair. If the angle between the polarizer and analyzer is 26°, what light intensity is transmitted through the polarizer and analyzer respectively? Your answers will be in term..
A series circuit consists of a voltage source and four resistors (R1=1k-ohm; R2=30-ohm; R3=470-ohm; R4=2k-ohm). The resistor of 1k-ohm has a voltage of V1=3V across its terminals. a) Find the current out of the voltage source.
Add an activehigh overflow indicator and the required detection circuitry. Thecircuit should have inputs a7 through a0, inputs b7 through b0, sumoutputs s7 through s0, and output overflow. For all inputs/outputsuse index 7 as the MSB and index 0 a..
Disign a system that calculates the difference between two signed 8-bit values A and B and return that difference D (which is an 8-bits output). For example; A=8, B=2, D=6; A= -(2), B=7, D=9; A= -(1), B= -(3), D=2.
Design a finite state machine that uses information about which player scores a point at each stage of a game to determine when a player wins and which player wins. Your design should include one reset input to initialize your win announcer
A cyclotron used to accelerate alpha [articles (m=6.55 x 10^-27kg, q=3.2x10^19C) has a radius pf .50, and a magnetic field of 1.8T (a)what is the period of revolution of the alpha particles (b)what is their kinetic energy
Contain an APA formatted cover page with the title of your topic.Contain an APA formatted abstract with your research topic summarized.Contain 8-10 pages of content synthesizing the scholarly literature on your topic or research question(s):
A vibration trandsucer measures a sinusoidal signal with up to a 100-hz frequency and an amplitude of + and - 5 v. Superimposed on this signal is an additional signal with a freq of 1000 hz. and amplitude of .2
It is required to design a drain-to-gatefeedback NMOS to operate at a dc drain current of .5mA. Assume VDD= +5V, knW/L =1mA/V2, Vt =1 V, and lambda=0. Use astandard 5% resistance value for RD, and give the actual values obtained for ID and VD.
Please explain why the operation wavelength around 1.55 mm is selected for the long haul fiber optic communications.
on a 150-q lossless transmission line the following observations were noted distance of first voltage minimum from
Assume that γ and Z0 are given 2- A dc generator of voltage Vg and internal resistance Rg is connected to a lossy transmission line characterized by a resistance per unit length R and conductance per unit length G.
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