Problem 4: Consider the following 10 point signal n = 0,1,2,3,4 n = 5,6,7,8,9 x[n] a) Find a simple expression for the 10-point DFT of this signal X[k]. (Use a geometric series formula and trigonometric identities to simply). b) Carefully sketch the magnitude of X[k]

Problem 4: Consider the following 10 point signal n = 0,1,2,3,4 n = 5,6,7,8,9 x[n] a) Find a simple expression for the 10-point DFT of this signal X[k]. (Use a geometric series formula and trigonometric identities to simply). b) Carefully sketch the magnitude of X[k]

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: The bandwidth of a signal is 5 kHz and we want to transmit it over a channel in PCM using Nyquist…

A: Solution- Given, bandwidth of the signal = 5 kHz (a) Given, the channel bandwidth = 80HzFor…

Q: Problem 1: In a PCM system, the bit error rate due to channel noise is 10-4. Assume that the peak…

A: (a) It is given that the recovered analog signal must be grater than 30dB. For PCM system 6n+1.8≥30…

Q: Develop the signal flow graph for Cooley-Tukey algorithm for N = 8.

A: Cooley-Tukey Algorithm: In digital signal processing, this algorithm is the most efficient method…

Q: A continuous time signal for a duration of 4s is uniformly sampled without aliasing and generating a…

A: Analog signals are transformed into discrete signals by sampling. The sampling theorem states that…

Q: 6.1 A1 kHz sine wave is sampled at frequency of 5 kHz. (a) What is the Nyquist frequency of the…

A: We are authorized to answer three subparts at a time since you have not mentioned which part you are…

Q: An analog electrocardiogram (ECG) signal contains useful frequencies up to 100 Hz. 1. What is the…

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…

Q: (a) What is the value of C required for fo = 10.7 MHz in the circuit as shown if IC = 10 mA, VCE =…

A: According to policy attempting only first three questions, Center frequency can be calculated as,…

Q: 1.23. Let the signal input to a galvanometer be x (1) = 0 t≤0 1>0 (1) = Kt in which K is a constant.…

Q: A signal whose highest frequency is 16 kHz is sampled with a frequency of 50 kHz, and 1024 samples…

Q: Consider a baseband M-ary system using M discrete a mplitude levels. The receiver mofiﬂl is as shown…

A: a Polar signalling M=2In this case, we have mt=∑n an sinctT-nwhere, an=±A2Digits 0 and 1 are thus…

Q: a modulating signal has a PSo of S,(w) - Icol. e To. the effective -w? 262 band width B of mct) is…

A: According to the question, we need to find the superior types of angle modulation for which the…

Q: Question 2: The bandwidth of a signal is 5 kHz and we want to transmit it over a channel in PCM…

Q: Q1. Consider a second order all-pole transfer function model, if the desired settling time (5%) is…

A: Second order all pole transfer function model having settling time (5%) =0.60 sec damping ratio ζ =…

Q: Consider a second order all-pole transfer function model, if the desired settling time (5%) is 0.60…

Q: Q1) Consider a second order all-pole transfer function model, if the desired settling time (5%) is…

A: Given Settling time =0.60 S for 5% tolerance Damping ratio =0.707

Q: Given the narrow (usable) audio bandwidth of a telephone transmission facility, a nominal SNR of 56…

A: (a) The formula to calculate maximum channel capacity: maximum channel capacity=B log21+SNR, where…

Q: A digital communication link carries binary-coded words representing samples of an input signal…

Q: A waveform x (t) = 10 cos (1000t+n/3) 20cos (2000t+ a/6) is to be uniformly sampled for digital…

A: Given: xt=10cos1000t+π3 20cos2000t+π6 For a) xt=10cos1000t+π3…

Q: Sampling Process 3.1 A narrowband signal has a bandwidth of 10 kHz centered on a carrier frequency…

A: According to the sampling theorem, if the bandwidth of a narrowband is represented by 2ω, so, the…

Q: o explain, What is Transient Analysis and its functions along with appropriate

Q: source signal is sampled, quantized, and encoded into PCM with pulse shaping. The corresponding…

A: Given Rb=2kbps

Q: (a)-Take a signal z with length N. Convolve this signal with another signal f, of length M. What…

A: "According to the Company's policies, we will provide solution of the first part of the question as…

Q: = 69 N, and RL = %3D Problem 7.133(a): For the circuit shown below, let R1 = 106 k, Rsig 13 kN. Find…

Q: A Delta modulator is tested with 10kHz sinusoidal, 1V peak to peak, at the input. The signal is…

A: Solution: Given : Amp-p = 1 V Am = 0.5 V fmax = 10 K Hz. n = 8 bits ∆ = Step Size…

Q: An experimental analysis of the natural oscillations in a particular structure shows the dominant…

A: Message signal : A message signal is a signal that contains a message that has to be sent. It's a…

Q: the total power where P, is the power carried by the sidebands and P, is the total power of the AM…

A: Given condition: Efficiency η of ordinary AM is η=PsPt×100% Where Ps is power carried by the…

Q: Solve Transfer function to state-spece representation???

A: In this question , we will find state space representation of transfer function..

Q: How did he get the value inside the circle, can you explain step by step? ratio of SNR value over…

Q: 1. Consider a channel with a white noise power of 10mW. А. power is 100mW, how much is the Shannon…

A: Given Noise power=N=10mW

Q: 1. х(п) 8(п - k) 3 a) x(n) b) x(k) c) x(k) • 8(n – k) d) x(k) + 8(k) 2. What is the condition for a…

Q: What is the resulting SQNR for a signal uniformly distributed on [−5, 5] when uniform?

Q: Which of the following is true about Signal-to-noise ratio? a. In linear codes, as the amplitude…

Q: (A) Consider the analog signal x.0 given by x,)- 3cos 2000ar + Ssin 6000 r + cos12000 at 1- What is…

A: Since you posted multiple sub-part in single request.we have limited time to solve your…

Q: (a) ider a quaternary random variable X over signal space {1, 1{. Assume that the probability of X =…

Q: 3. Solve the ff: a.) An FM receiver has an input S/N of 4. If the modulating frequency is 2.8 kHz…

Q: A waveform x (t) = 10 cos (1000t+n/3) 20cos (2000t+ a/6) is to be aniformly sampled for digital…

A: Given, x(t)=10 cos (1000t+π/3)20cos(2000+π/6) Maximum frequency =20002π=1000π Hz Minimum sampling…

Q: Suppose that a random signal with mean my =3 and power spectral %3D 1 density S,)= is applied to a…

Q: Explain in a simple way How to convert between transfer function and state-space models?

A: Conversion from transfer function to state space model: State model representation: dX(t)/dt = A…

Q: An analog signal of maximum frequency component of 10 kHz is applied at the input of a PCM system…

A: If fm Hz is the maximum frequency component present in the analog signal which has been applied at…

Q: A simple binary communication system model, with additive Gaussian noise, is the following: S is a…

A: Given : S : binary random variable taking the values S € { -1 ,1 } with the equal probability…

Q: Problem Set 4: Energy and Power Determination of two parameters such as energy and power from…

Q: 10 Consider a second order all-pole transfer function model, if the desired settling time(5%) is…

A: Given ts (5%) = 0.30 s, damping ratio = 0.707, Calculating Wn

Q: Evaluate the discrete-time convolution sums given below. Also, obtain the same result…

A: Given functions: a) y[n]=u[n+3]*u[n-3] b) x[n]=u[n]-u[n-2], h[n]=(0.5)nu[n]

Q: Q4) (a) Explain what is meant by the term, modulation, and produce a diagram of an Amplitude…

A: We need to explain what is meant by modulation and also need to give a diagram of an amplitude…

Q: For a baseband signal, Fs = 4. 2fH K fH fH-fL K =

Question

100%

Electrical Engineering
Problem 4:
Consider the following 10 point signal
xln] = {6
n = 0,1,2,3,4
n = 5,6,7,8,9
a) Find a simple expression for the 10-point DFT of this signal X[k]. (Use a
geometric series formula and trigonometric identities to simply).
b) Carefully sketch the magnitude of X[k]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Different Types of System and Its Property

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Signal and system problem.plz solve every step with formula
Error propagation. We measure flux (f) and its uncertainty (df). Convert them into magnitude (m) and its uncertainty (dm). The signal-to-noise ratio can be written as SNR=f/df. What is the magnitude uncertainty when SNR=0.1, 1, 10, and 100?
The figure shows multiple modulation schemes for the signal that is given by the dashed line sinusoidal function, the X-axis is the time axis is seconds and the Y-axis is the amplitude. Answer the following: What is the quantization noise in a modulator that uses a 4-bits register for the analog to digital conversion of the given sinusoidal signal? Please give deatiled solution for good understanding
Derive an expression for Vout as a function of Vin, where Vin is the nodes connected to the Waveform Generator signal. Show your equations below, either typed or a picture of your handwritten work.
How does duality facilitate the transformation between time and frequency domains in signal processing?
For the system shown:a. Get the equationsb. Simplify and determine C / Rc. Draw the signal flow diagram for this system.
ument-460F8C6BE9D6- x 5-1.pdf CD Page view A Read aloud 1: Theory 1.1 Describe briefly a sinusoidal signal and ALL its properties. Give example with figures. ongingoring which is si +.
Let's say there is a voltage source, 3sin(20nt + ). Transform this source in terms of cosine. Vs = cos( Tt + (T/ Consider the signal Vs = 10sin(20nt +). When does the first maximum voltage appear %3! for t > 0. ms Find the Ams value of 30cos(20nt) A. Round to at least four decimal places. Arms
Consider an analog source emits a wave that is first sampled while ensuring the Nyquist criterion. Elaborate the further process step by step experienced by the analog signal in your own words with the help of proper labeled diagram
i)Most electronic circuits in communication are used to process signals which can be in digital oranalogue form. These circuits are manned for manipulating signals towards producing a desiredresult. Generally, all signal processing circuits will engage with two main factors. Identify thesefactors and compare their role in communication. A) Electronic and OpticalB) Wireless and Free SpaceC) Analog and DigitalD) Gain and NoiseE) Noise and AttenuationF) Gain and AttenuationG) None of the above ii)Signals travel in communication channels are always exposed to the possibility of interferenceeffect that could destroy the transmitted information. The interference occurs due to the existenceof two or more frequencies. There is a component that limits specific range of frequencies andallows other range to pass through in the channel. Identify this component and explain its operationwith aid of diagram. A) ModulatorB) BasebandC) Local OscillatorD) Electrical CouplerE) Optical SwitchF) Bandpass…
Thank you
(c) When a signal is considered to be a power signal or an energy signal? Also, suggest an example for a power signal as well as for an energy signal.