Here is another one...

GoodTimesForChange · Jul 15, 2010 1:43 AM

@GoodTimesForChange I shouldn't be doing this. But, me in good mood (right now). I give U only pointers. The rest is up to U. 1) 1st Problem (upper one) - To find y(t) U need to convolve x(t) with h(t). - According to your problem, the delta function exists at point 2 on the x-axis  (time axis) (first quadrant).  - Use convolution property of delta function (U better know this). - once you have done the convolution, change the result to frequency domain alternative method (might be harder) - Use frequency domain - convert sine function to frequency domain using Fourier theorem - do same for delta function - in frequency domain convolution changes to multiplication - the rest follows from there. Once you have the frequency response of y(t) i.e Y(Omega) then just use MATLAB to plot phase and magnitude. U can also do it by hand. Check some Internet pages on this. U will find plenty. 2) Second Problem If U know part (a) then the others should be a piece of cake. Part (a) - big hint --- U need to find z(t). The product of two rectangular functions (rect functions) will give you triangular function (Tri function). Now U need to figure out the x-axis values for the rectangles. Hope this helps. Do the rest by yourself.  Last edited: 15-Jul-10 02:23 AM

black_panther · Jul 15, 2010 2:16 AM

dimag kharab · Jul 15, 2010 2:17 AM

@Black_Panther...thanks for your tips....Its a great help for me... I dont know if i can solve it but can give a try.. @dimag_kharab.... You can be my instructor..can you teach me how to solve those problems now Sir...

GoodTimesForChange · Jul 15, 2010 11:16 PM

@GoodTimesForChange You dont need to do convolution at all. This is a trick question. For the first question, the inpulse response h(t) is a delta function shifted by time 2 units, so the output will be the shifted version of input only. Thats it, no need to do convolution integration. For, second question, use the concept of centre limit theorem. You should know that, if you convolve, two rectangular pulse, you will get a triangular wave. So. z(t) is a rectangular pulse rect(t). You just need to find its width. All the best  AE  

AlterEgo · Jul 16, 2010 7:49 AM

lol @dimagkharab. Good one.

Kiddo · Jul 16, 2010 8:20 AM