Let X(e j? ) denote the Fourier transform of x[n].Using the Fourier transform syntheses or analyses equations

Question:

Let X(e^j?) denote the Fourier transform of x[n].Using the Fourier transform syntheses or analyses equations (Eqs. (2.133) and (2.134)), show that

(a) The Fourier transform of x*[n] is X*(e ^?j?),

(b) The Fourier transform of x*[? n] is X*(e^?j?),

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

See More Books

Question Posted: May 26, 2011 02:55 AM

See More Questions

Let X(e j ) denote the Fourier transform of the signal x[n] shown in Figure. Perform the following calculations without explicitly evaluating X(e j ): (a) Evaluate X(e j )| =0 . (b) Evaluate X(e j )|...
Let X(e j ) denote the Fourier transform of the sequence x[n] = (1/2) n u[n]. Let y[n] denote a finite-duration sequence of length 10; i.e., y[n] = 0, n < 0, and y[n] = n 10. The 10-point DFT of...
The Fourier transform of a signal x(t) is (a) Carefully plot X(Î©)as function of . (b) Determine the value of x(0). [u(2 +T) u(S2 1)] X(2)
The following balance sheets were prepared for Pam Corporation and Slest Company on January 1, 20X2, just before they entered into a business combination: Pam acquired all of Slest Companys assets...
Milk is often sold by the gallon in plastic containers. (a) Estimate the number of gallons of milk that are purchased in the United States each year. (b) What approximate weight of plastic does this...
Determine the largest open intervals of the domain over which each function is (a) increasing, (b) decreasing, and (c) constant. 2 -2 (0, -2) 4- (-2,4)
Ethical Dilemma: To reduce poverty in Africa, government officials want to increase African exports to Europe. Africas top exports include agricultural products, such as meat, coffee, peanuts, and...
Par, Inc., is a major manufacturer of golf equipment. Management believes that Par's market share could be increased with the introduction of a cut-resistant, longer-lasting golf ball. Therefore, the...
Superior Company provided the following data for the year ended December 31 (all raw materials are used in production as direct materials): Selling expenses $ 214,000 Purchases of raw materials $...
Find and classify the stationary values of the function f(x, y) = sin x cos y + 2 cos x sin y in the range 0xm, x y 0syn. fxy 2 fxxfyy-fxy Type f(x,y)
Let H(e j? ) denote the frequency response of an LTI system with impulse response h[n], where h[n] is, in general, complex. (a) Using Eq. (2.109), show that H *(e ? j? ) is the frequency response of...
Show that for x[n] real, property 7 in Table 2.1 follows from property 1 and that properties 8 ? 11 follow from property 7. SYMMETRY PROPERTIES OF THE FOURIER TRANSFORM TABLE 2.1 Sequence x[n]...
Show that |cos x - 1| |x| for all x-values.
1. create a concept map for 0D, 1D, 2D and 3D crystals 2. write down the formulas for quantifying numbers of defects
\fNOTES TO CONSOLIDATED FINANCIAL STATEMENTS OF AMERICAN AIRLINES GROUP INC . Commitments , Contingencies and Guarantees ( 2 ) Aircraft and Engine Purchase Commitment Under all of our aircraft and...
Critical Values. In Exercises 41-44, find the indicated critical value. Round results to two decimal places. 41. Z0.25 42. Z0.90 43. Z0.02 44. 20.05
Use the following information for questions 1 and 2. Caterpillar Financial Services Corp. (a subsidiary of Caterpillar) and Sterling Construction sign a lease agreement dated January 1, 2020, that...
In todays social and business environments, some organizations only talk the talk regarding ethics and ethical conduct rather than walk the ethical organizational path. In what ways can ethical and...
What tools of influence will you employ to convince the convincibles? How will you shape potential supporters perceptions of their interests? Of their options? AppendixLO1
Estimate a range for the optimal objective value for the following LPs: (a) Minimize z = 5x1 + 2x2 Subject to X1 - x2 3 2x1 + 3x2 5 X1, x2 0 (b) Maximize z = x1 + 5x2 + 3x3 Subject to X1 + 2x2 +...
(a) What is the electric field 5.00 m from the center of the terminal of a Van de Graaff with a 3.00 mC charge, noting that the field is equivalent to that of a point charge at the center of the...
Consider the low pass filters y(n) = ay(n 1) + bx(n) 0 < a < 1 (a) Determine b so that |H(0)| = 1. (b) Determine the 3-dB bandwidth 3 for the normalized filter in part (a). (c) How does the choice...
Sketch the magnitude and phase response of the multipath channel y(n) = x(n) + ax(n M) a > 0, for a < < 1
Determine the system function and the pole-zero location for the systems shown in figure (a) through (c), and indicate whether or not the system arestable. X(n) (a) vin) (b) 918-910-9 (C)
question 1- You borrow a simple loan of SR 500,000, interest rate is 20%, it matures in one year. what's the yied to maturity? question 2- calculate_i for One-Year Discount Bond with price(p) =...
Taste of Muscat is a reputed chain of restaurants operating in Oman. Assume You are working as a management accountant for this restaurant chain which is specialized in all types of Arabic food. Your...
Industry Current Year Minus 1 Current Year Minus 2 Company: Air Products and Chemicals, Inc. (APD) Stock Price: 306.72 USD Shares Outstanding: 220.89 M Financial Ratios Most Current Year Current...

Let X(e j? ) denote the Fourier transform of x[n].Using the Fourier transform syntheses or analyses equations

Question:

- x(el")elun dw, x[n] = 2л X (el") = x[n]e¯jum_ n=-00

Step by Step Answer:

The analysis ...View the full answer

Discrete Time Signal Processing

Students also viewed these Telecommunication Engineering questions