Assume that a sequence an has the spectrum (DTFT) A(f)- 0 otherwise within fl s l/2...
2. (10 Points) Give the following examples (the roofs are not required). (a) A bounded sequence in LP[o 0, 1],1 S p S oo, that has no strongly convergent subsequence (b) A bounded sequence in L'(0, 1] that has no weakly convergent subsequence. (c) A weakly convergent sequence in L [0,1] that has no strongly convergent subsequence.
2. (10 Points) Give the following examples (the roofs are not required). (a) A bounded sequence in LP[o 0, 1],1 S p S...
Can someone please explain to me the solution to this
problem! I don't understand the solution, I just need a detail
explanation step by step so I can understand this problem with all
the subparts! Thanks!
3.5 Find the power spectrum for each of the following wide-sense stationary random processes that have the given autocorrelation sequences (a) rx(k) 26(k)j8(k -1)-j(k+1) (b) T(k)(k)2(0.5) (c) T(k)26(k)+cos(Tk/4) (d) rx(k)=' 10 k k< 10 ; otherwise Solutioin (a) This autocorrelation sequence is finite in...
x[n] = { Consider the discrete sequence S (0.5)" 0<n<N-1 otherwise a) Determine the z-transform X(2)! b) Determine and plot the poles and zeros of X(2) when N = 8!
Elementary Laplace Transtorms Y(S) = {f} -L e-stf(t)dt fc = C-'{F(s)} F(s) = {f} f(t) =-'{F(s)) F(s) = {f} -CS 1. 1 1 12. uct) le S> 0 S> 0 . s S 2. eat 1 13. ucOf(t-c) e-csF(s) S> a S-a n! 3. t",n e Z 14. ectf(t) F( sc) S> 0 sh+1 4. tP, p>-1 (p+1) S> 0 SP+1 15. f(ct) F). c>0 16. SFt - 1)g(t)dt F(s)G(*) 5. sin at S> 0 16. cos at 17. 8(t...
Elementary Laplace Transtorms Y(S) = {f} -L e-stf(t)dt fc = C-'{F(s)} F(s) = {f} f(t) =-'{F(s)) F(s) = {f} -CS 1. 1 1 12. uct) le S> 0 S> 0 . s S 2. eat 1 13. ucOf(t-c) e-csF(s) S> a S-a n! 3. t",n e Z 14. ectf(t) F( sc) S> 0 sh+1 4. tP, p>-1 (p+1) S> 0 SP+1 15. f(ct) F). c>0 16. SFt - 1)g(t)dt F(s)G(*) 5. sin at S> 0 16. cos at 17. 8(t...
Problem 2 (Spectrum of a rectangular signal): In this problem, the amplitude spectrum of the signal 1 or Ot 2 ms x(t)- 0 otherwise is to be analysed (b) Numerical calculation of the spectrum: (i) Use Matlab to generate and plot a vector containing the sample values of the rectangular signal defined in (2) sampled at f 8kHz. Choose the number N of sample values so that it is a power of 2 and that the signal duration is at...
Elementary Laplace Transtorms Y(S) = {f} -L e-stf(t)dt fc = C-'{F(s)} F(s) = {f} f(t) =-'{F(s)) F(s) = {f} -CS 1. 1 1 12. uct) le S> 0 S> 0 . s S 2. eat 1 13. ucOf(t-c) e-csF(s) S> a S-a n! 3. t",n e Z 14. ectf(t) F( sc) S> 0 sh+1 4. tP, p>-1 (p+1) S> 0 SP+1 15. f(ct) F). c>0 16. SFt - 1)g(t)dt F(s)G(*) 5. sin at S> 0 16. cos at 17. 8(t...
Define the rectangular window as follows: wlnl otherwise (a) Show that its DTFT has the following expression: W(eju)-e-jaa, sin Me Find out what the constant α is. sin(?) (b) Make a sketch of IW(ejoj as a function of ω for the case of M-4, and show where the zero crossings are. (c) Now, consider the Hann window defined as follows, πη 2M 0, otherwise. Make a sketch of wH[n]
Define the rectangular window as follows: wlnl otherwise (a) Show that...
a) Draw helical wheels for each of the following two sequences. 1) E-L-K-D-L-S-K-S 2) L-R-K-L-E-R-S-L b. In the diagram above show likely interactions between each sequence. C What is the name of the secondary structure this may form
Elementary Laplace Transtorms Y(S) = {f} -L e-stf(t)dt fc = C-'{F(s)} F(s) = {f} f(t) =-'{F(s)) F(s) = {f} -CS 1. 1 1 12. uct) le S> 0 S> 0 . s S 2. eat 1 13. ucOf(t-c) e-csF(s) S> a S-a n! 3. t",n e Z 14. ectf(t) F( sc) S> 0 sh+1 4. tP, p>-1 (p+1) S> 0 SP+1 15. f(ct) F). c>0 16. SFt - 1)g(t)dt F(s)G(*) 5. sin at S> 0 16. cos at 17. 8(t...