This is mathematics, not real world, isn't it? The error, if there is one ;-), is the last step where 'b' should be subtracted from both sides, resulting in the...

Do make sure that if x[0...n] = 1, that you have stability, rather than an exponential 'explosion'. That is, don't forget the effective multiplier for the x[n]...

Some quick thoughts.There are two things to consider: the amount of overdrive, i.e. just a little clipping, or large overdrive giving a trapezoid shape, or the massive...

Is there a typo here"0 2÷3 2÷3" ?Should it read"0 1÷3 2÷3", i.e. ~ "0 0.333333 0.666666" ?If not, maybe a slight expansion of the text to tease out more of the...

Also, ultimately, the transmitted signal is a purely real signal, sampled in the time domain, thus all those complex parts are mathematical artefacts with various...

Definitely start with a lower sequence rate, and lower them until you can see the sequence cleanly.Also consider doubling the 'sample/bit rate' in the sense that...

You forgot the distinctions around zero.Some number systems have no zero, such as Roman numerals (and no negative).We also have the subtle distinction between additive...

Are you simply averaging the theta values, which have roll-over, as that roll over can cause a significant non-linearity. You could average the complex phase (i.e....

Just a quick thought, without any real 'thinking' - do those two delayed signals simply amount to a small phase shift that effectively increase the size of the signal,...

Random noise can produce wildly random results (well, because..). It's a reasonable approximation but the statistics aren't always as good is hoped.You didn't say...

The maximum value is determined by the initial y[0] {aka y(1)} value copied from x[0] {x(1)}, so the randomised trial will get rather random results because the...

so, I think you have: y[n] = 0.98*y[n-1] + (x[n] - x[n-1])Assuming that y[-1] = 0, you have a 2% decay on any existing y[n-1] value, plus the difference between...

The Wikipedia 'Stability' section https://en.wikipedia.org/wiki/Infinite_impulse_res... maybe a useful place to start.Separating the variables will be part of the...

Maybe it needs A=[1 2 3 4 5 6]; A(:)and B = [1 2 3; 4 5 6]; B(:)to highlight the internal ordering. (Perhaps along with sum(A) and sum (B) just to clarify..)The...

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