On Sat, Feb 27, 2016 at 12:21:30PM +0000, Politis Archontis wrote:

> > No, this is not true. The decoder and convolution matrix can be combined
> > into a (N+1)^2 * 2 convolution matrix.
> 
> Ah true! by summing the terms..
> 
> > The only remaining difference is the set of directions. And it is known
> > that using too many speakers for a given order is suboptimal.
> 
> So what is the benefit then of adding a decoding stage in the middle?

The advantage of having an explicit decoder stage is that you 
can tweak the decoder for optimum results. For example it can
be dual-band [1], or have some front preference, etc.

Note that when doing the SHT for the direct method, you need
to apply a correction matrix (depending on the set of directions)
to ortho-normalise the transform. When doing that, the result is
*exactly* equivalent to a systematic decoder for the set of
directions used in the SHT.

[1] For the direct method, you could merge the convolution
matrix with shelf filters for the same result.

Ciao,

-- 
FA

A world of exhaustive, reliable metadata would be an utopia.
It's also a pipe-dream, founded on self-delusion, nerd hubris
and hysterically inflated market opportunities. (Cory Doctorow)

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