Using the Paley Wiener criterion, show that H(f) exp ( f 2 ) is not a suitable amplitude response for a causal, linear time invariant filter ...

Application of the PayleyWiener criterio ...

Using the Paley-Wiener criterion, show that |H(f)| = exp (-f 2 ) is not a suitable amplitude

Question:

Using the Paley-Wiener criterion, show that

|H(f)| = exp (-βf²)

is not a suitable amplitude response for a causal, linear time-invariant filter.

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

Step by Step Answer:

Related Book For book-img-for-question

Principles of Communications Systems, Modulation and Noise

ISBN: 978-8126556793

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

See More Books

Question Posted: Sep 13, 2018 06:32 AM

See More Questions

For the two circuits shown in Figure 2.38, determine H(f) and h(f) Sketch accurately the amplitude and phase responses. Plot the amplitude response in decibels. Use a logarithmic frequency axis. R1...
Time-Dependent Wave Function for a Free Particle One example of a time-dependent wave function is that of a free particle [one for which U(x) = 0 for all x] of energy E and x-component of momentum p....
Hydroxide is not a suitable base for deprotonating acetylene: Explain why not. Can you propose a base that would be suitable? - -: : - Acetylene Hydroxide
Danbury Inc is a resident Canadian corporation with worldwide operations. Canadian operations resulted in taxable income of $ 1 . 1 0 million and non - Canadian operations resulted in taxable income...
In 2014, France had a current account deficit of 19.5 billion (approximately $25.9 billion). Did France experience a net capital outflow or a net capital inflow during 2014? Briefly explain.
The following transitions occurred for London Engineering: Journalize the transactions of London Engineering. Include an explanation with each journal entry. Use the following accounts: Cash;...
Randomly permute each row of the matrix below using R. \[\left[\begin{array}{llll}1 & 1 & 1 & 1 \\2 & 2 & 2 & 2 \\3 & 3 & 3 & 3 \\4 & 4 & 4 & 4\end{array} ight]\] You can construct the matrix below...
With the rapid growth of cloud computing, many organizations are contracting with third-party service providers to process and store all kinds of data off site. In doing so, entities are now...
You intend to purchase Dorchester common stock at $52.00 per share, hold it for 1 year, and then sell it after a dividend of $6.25 is paid. How much will the stock price have to appreciate for you to...
Apple Inc., headquartered in Cupertino, California, designs, manufactures, and markets mobile communication and media devices, personal computers, and portable digital music players and sells a...
Determine whether or not the filters with impulse responses given below are BIBO stable. and f 0 are positive constants. (a) h 1 (t) = exp(- |t|) cos (2f 0 t) (b) h 2 (t) = cos (2f 0 t) u(t) (c) h 3...
A second-order active band pass filter (BPF), known as a band pass Sallen-Key circuit, is shown in Figure 2.37. (a) Show that the frequency response function of this filter is given by where Ï 0...
A 20-mH inductor and a 12-mH inductor are connected in series with a 1-A current source. Find (a) The equivalent inductance and (b) The total energy stored.
Georgina owns three holiday flats, all of which she lets furnished with a view to profit. None of the flats is ever let to the same tenant for more than 31 consecutive days. The number of days for...
Leonard is employed and received a gross salary of 3,452 per month during tax year 2021-22. He also has a small business and paid 52 Class 2 NICs for the year. His trading income for 2021-22 was...
Roger began trading on 1 January 2015, preparing accounts to 30 April each year. His first accounts were for the 16 months to 30 April 2016. In 2018 he decided to change his accounting date to 30...
Calculate the tax liability for 2021-22 of a husband and wife (both born in 1933), using the information below. No elections have been made in relation to the MCA and none of the income is derived...
a. Do you think the annulment could have been granted on the ground that the marriage was a sham? b. Later we will study no-fault divorce, in which marital fault is no longer relevant to the granting...
Use Steps for Better Thinking to help Alex decide whether to present the webinar.
Solve each equation. x 3 - 6x 2 = -8x
The sun radiates a total power of about 3.86 1026 watts (W). If we imagine the suns surface to be marked off in latitude and longitude and assume uniform radiation, (a) what power is radiated by the...
Spherical surfaces at r = 2, 4, and 6 m carry uniform surface charge densities of 20 nC/m 2 , 4 nC/m 2 , and S0 , respectively. (a) Find D at r = 1, 3, and 5 m. (b) Determine S0 such that D = 0 at...
A certain light-emitting diode (LED) is centered at the origin with its surface in the xy plane. At far distances, the LED appears as a point, but the glowing surface geometry produces a far-field...
blem 3: Consider the soil profile below. If the effective stress at point C is 111 kPa, find the value of h. (30) e=0.61 Gs=2.66 Ground Surface 4m 5m e=0.48 Gs=2.67 A PP A
Q4 (40 marks). Two identical rigid foundations are given. Calculate the differential settlement ratio (8/L) after 100 days and long term after construction of the foundations. Hint: Average total...
An embankment is given (H = 5 m and y = 20 kN/m). Determine the vertical stress increase at points A, which is 5 m below the ground surface. Assume the embankment is constructed on the ground...

Using the Paley-Wiener criterion, show that |H(f)| = exp (-f 2 ) is not a suitable amplitude

Question:

Step by Step Answer:

Application of the PayleyWiener criterio...View the full answer

Principles of Communications Systems, Modulation and Noise

Students also viewed these Physics questions