[sdiy] Transfer Functions

[Grant Richter]

I would also recommend "Transform Circuit Analysis for Engineering  
and Technology" by William D. Stanley

It is quite readable for such a technical subject.

The LaPlace transform allows you to do things with simple algebra  
that would otherwise require complex calculus.

On Jul 15, 2010, at 10:24 PM, Wooster Audio wrote:

> I've been reading "Introduction to Digital Filters" by Julius O  
> Smith - great online FREE book, so this is all fresh in my head.
>
>   http://www.dsprelated.com/dspbooks/filters/
>
> The transfer function for an analog signal is called H(s), where
>
>    H(s) = Y(s) / X(s).
>
> Y(s) is basically the frequencies at the output, and X(s) is the  
> frequencies at the input.  So when you take the input signal X(s)  
> and mulitply it by the transfer function H(s) you get the output  
> signal Y(s)
>
>   Y(s) = X(s) H(s)
>
> Thus the transfer function represents what the filter does to the  
> frequencies in a signal.  Starting from a time domain description  
> of the inputs and outputs, y(t) and x(t), you can find out what the  
> frequency domain Y(s) and X(s) are by using something called the  
> Laplace transform.  The digital equivalent of H(s) is H(z), which  
> you figure out using the z-transform.
>
> Nathan
>
> On 7/15/2010 4:16 PM, Stewart Pye wrote:
>> With the talk of transfer functions of filter circuits I'm  
>> wondering if someone could point me to somewhere on the internet  
>> or a book that would help me to learn this...
>>
>> I studied electronics (advanced diploma) at a technical college  
>> about 12 years ago and do recall touching on this, but I'd have to  
>> re-learn the mathematics as I wasn't really interested in it at  
>> the time, however I did pass subjects that delt with imaginary  
>> numbers and such things. I just can't remember!. Until now I've  
>> usually been able to get by with things like f = 1/2*pi*R*C.
>>
>> Cheers,
>> Stewart.
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