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From: Vikram T.G on 11 May 2010 17:20
Hi,

Does anyone have an implementation/solution for a 2D Acoustic/Generic Taper waveguide? If not can anyone suggest me to the literature dealing with it.

I have a code for simulating the propagation of a wave in a dispersive parallel plate waveguide.

I was thinking of trying to recursively convolve the my channel response h1(x,t) which generates a sequence of length 'a'. with the signal u(0,t) length 'b'. (Neglecting impedance matching for now). While varying the depth of the waveguide (More like a step waveguide).

But one of the problem would be the growing size of data.
i.e. let h(4,t)= channel response after distance '4' of length 'a'.
u(0,t)= initial impulse response of length 'b'.
hence u(4,t)=u(0,t)*h(4,t). of length 'a+b-1'.------(1)

Now, say if I recursively convolve.
i.e. h(4,t)=h(1,t)*h(1,t)*h(1,t)*h(1,t). length '4a-3'.
and u(4,t)=u(0,t)*h(4,t). length '4a+b-4'.------(2)

Now assuming h(1,t) remaining constant, (1) and (2) should give the same answer.

Is there any other procedure to perform recursive convolution without increase in data size?

Suggestions of any sort is greatly appreciated.

Regards,
Vikram
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