Let H(e j? ) denote the frequency response of an LTI system with impulse response h[n], where
Question:
Let H(ej?) 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 a system with impulse response h *[n], where * denotes complex conjugation.
(b) Show that if h[n] is real, the frequency response is conjugate?symmetric, i.e., H(e? j?) = H *(e?j?).
Transcribed Image Text:
H(e'®) = h[k]e¯j«k, (2.109) k=-00
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 56% (16 reviews)
For impulse respons...View the full answer
Answered By
Jehal Shah
I believe everyone should try to be strong at logic and have good reading habit. Because If you possess these two skills, no matter what difficult situation is, you will definitely find a perfect solution out of it. While logical ability gives you to understand complex problems and concepts quite easily, reading habit gives you an open mind and holistic approach to see much bigger picture.
So guys, I always try to explain any concept keeping these two points in my mind. So that you will never forget any more importantly get bored.
Last but not the least, I am finance enthusiast. Big fan of Warren buffet for long term focus investing approach. On the same side derivatives is the segment I possess expertise.
If you have any finacne related doubt, do reach me out.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
Question Posted:
Students also viewed these Telecommunication Engineering questions
-
The frequency response of an LTI system is H(e j ) = e j/4 , < . Determine the output of the system, y[n], when the input is x[n] = cos(5n/2). Express your answer in as simple a form as you can.
-
The impulse response of an LTI system is given by h(n) = (n) (n k0). To determine the impulse response g(n) of the inverse system, an engineer computes the determine N-point DFT H (k), N = 4k0, of...
-
The impulse response of an LTI system is x(t) = e-2tu(t) and the system's input is a pulse x(t) = u(t) u(t 3). Find the zero-state response of the system, y(t).
-
At the beginning of the current tennis season, on April 1, 2024, Kicked-Back Tennis Shops inventory consisted of 50 tennis racquets at a cost of $40 each. Kicked-Back uses a perpetual inventory...
-
New York is roughly 3000 miles from Seattle. When it is 10:00 a.m. in Seattle, it is 1:00 p.m. in New York. Using this information, estimate (a) The rotational speed of the surface of Earth, (b) The...
-
The gas stream from a sulfur burner is composed of 15-mol-% SO2, 20-mol-% 02, and 65-mol-% N2. This gas stream at 1 bar and 480C enters a catalytic converter, where the SO2 is further oxidized to...
-
Define venture capital and compare it to other forms of financing.
-
Explain whether each of the following transactions results in a valid negotiation: (a) Arnold gives a negotiable check payable to bearer to Betsy without indorsing it. (b) Golden indorses a...
-
Consider the same mechanism again, with m=2.5 kg , d=585 mm , k=200 N/m , and s=1.72 . What is the maximum angular velocity allowable if the collar is to remain at a constant distance r=2600 mm from...
-
The first step toward utilizing paleomagnetic data is to infer the direction (polarity) of the magnetic field at the time that rocks of various ages were forming at a particular site. Unfortunately,...
-
A commonly used numerical operation called the first backward difference is defined as y[n] = (x[n]) = x[n] x[n 1], where x[n] is the input and y[n] is the output of the first-backward-difference...
-
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? ),...
-
Locate at least three sports marketing companies on the Internet that specialize in the marketing of sponsorship opportunities. What products or services are these organizations offering potential...
-
Enter up the relevant accounts in the purchases and general ledgers from the columnar purchases day book you completed for Question 20.4. Question 20.4 A Enter up a columnar purchases day book with...
-
Two large manufacturers make similar products but have different branding strategies: one houses all of its products under the parent brand, but the other has a collection of different brands that...
-
If someone reports that the mean weight for fourth-grade boys is 80 pounds and for fourth-grade girls is 78 pounds, what must you know to test hypotheses using the difference of means?
-
A A business, which started trading on 1 January 2010, adjusted its allowance for doubtful debt at the end of each year on a percentage basis, but each year the percentage rate is adjusted in...
-
Return to Review Question 7.2 and prepare a statement of financial position as at 30 June 2012. Review Question 7.2 From the following trial balance of G. Foot after his first years trading, you are...
-
Adam, Stanley, and Rosalind formed a partnership in State X to distribute beer and wine. Their agreement provided that the partnership would continue until December 31, 2019. Which of the following...
-
Differentiate the following terms/concepts: a. Personality types and money attitudes b. Planners and avoiders c. Moderating and adapting to biases d. "Perfectible judges" and "incorrigible judges"
-
A simple and common technique for accelerating electrons is shown in Figure 18.51, where there is a uniform electric field between two plates. Electrons are released, usually from a hot filament,...
-
Frequency inverters have been used for many years for speech scrambling. Indeed, a voice signal x (n) becomes unintelligible if we invert its spectrum as shown in figure(a) Determine how frequency...
-
A low pass filter is described by the difference equation y(n) = 0.9y(n 1) + 0.1x(n) (a) By performing a frequency translation of /2, transforms the filter into a band pass filter. (b) What is the...
-
Consider a system with a real-valued impulse response h(n) and frequency response H(?) = |H (?)| ej? (?) The quantity provides a measure of the ?effective duration? of h(n) (a) Express D in terms of...
-
A tall pitot-static tube is mounted through and 1.5-mabove the roof of a performance car such that it senses thefreestream flow. Estimate the static, stagnation, and dynamicpressure sensed at 325 kph...
-
If cluster membership is determined by examining the squared distance of each respondent's position from the initial cluster centers, list the respondents assigned to initial Cluster#1 (5 points) ...
-
How does the perception of organizational justice affect employee motivation and job satisfaction, and what can organizations do to promote a sense of fairness and equity ?
Study smarter with the SolutionInn App