Got the answer, however the expression for my constants is slightly different to yours, not sure why.
picking up for solution of differential equation using method of undetermined coefficients for following time range: ## 2\leq t \lt \infty##
Wrote equation and its derivative
## y...
I am a little embarrassed to ask for help again but am stuck on the mathematics part and request further guidance.
How are you getting the value for constants, C and D. Are both solutions evaluated when t = 2, as shown?
## y(t) = 2 cos (4) + 2 sin (4)## for ## \:\:0\leq t \lt2##
## y(t) =...
Tried to figure out myself but have now admitted defeat, requesting some guidance from you good people. Not looking for any specific answers, unless the problem is my working out and not my process.
If we take the following differential equation: ##y(t)'' + 4y(t) = 7u(t-2)## and determine...
Alphazero: Thank you very much for your reply. Although I did not show itin my post I did actually enter ω = π into matlab.
However I did make a big mistake which was I entered t=linspace(0,2π), without realising that my domain is from -π to +π, doh!.
I have now got the right shape, thanks...
Hello,
I have a problem synthesising the complex Fourier series using Matlab. The time domain periodic function is:
-1, -1.0 ≤ t < -0.5
1 , -0.5≤ t <0.5
-1, 0.5 ≤ t < 1
The single non zero coefficient is: Cn = \frac{2}{\pi n}, Co is 0 (average is 0).
f(t)= \sum Cn...
I have been trying to understand the Fourier series and the relationship between the energy in the original function and its Fourier representation. The example function: y = 3t has a period of 2∏. The Fourier coefficients are:
The Fourier representation has a dc average of 3∏, it has no...
Hello Folks,
I am having some trouble understanding how difference equations are solved in DSP. I understand how differential equations are solved in the continuous domain using a general solution which is the sum of the complementary function and particular integral. I am solving the...
Feldoh: Sorry for not being clear, I meant if the initial count was 8 set by four flip flops with the FF at the right being set to 1 and the other 3 at 0. Then if it is a shift right after 1 clock pulse the count would be 4. I wasnt sure how the binary weightings were assigned. However Jiggy has...
I have got what may be a silly question. I hope not.
Using flip flops e.g. JK flip flops, counters can be constructed (modulus up and down counters). However when constructing shift registers data can be shifted left and right. When shifted right each the shift register could divide the initial...
Hello All,
I have a bit of a problem with a series RLC circuit with no supply voltage. In the process of actually solving the second order differential equation for the voltage across the capacitor I have lost a handle on what it actually represents in terms of the circuit.
I have attached...
Hello All,
I am little confused with the Fourier family of transforms. I would really appreciate it if someone could have a look at them
My understanding is as follows:
Fourier Series: Only used for Peiodic continuous signals.
Fourier Transform: Can be used for periodic or...
Zryn: Thanks a lot, it was not a typing mistake I was failing to account for j. I can see where I have been going wrong now thanks. I have defo learned something :smile:
Thanks Zryn: I was thinking about what I wrote and I found a mistake in my solution, however that doesn't quite match yours, my working our is as follows. I am just going to show the denominator:
= (z-re^{-j\pi/2})(z-re^{j\pi/2})
= z^{2} - zre^{j\pi/2} - zre^{-j\pi/2} + r^{2}e^{-j\pi/2 +...