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What is linearity in highly linear OTA or filter?

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mince

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linearity

When someone says they have designed a highly linear OTA or filter.......what exactly do they mean by linearity?
 

Re: linearity

mince said:
When someone says they have designed a highly linear OTA or filter.......what exactly do they mean by linearity?
hello,
in OTA for instance linearity of Gm with Diffrential input (Gm is constant for large diff. i/p)
regards,
a.safwat
 

linearity

It refears to the bode plot. For a amplifier the transfer function must be linear.
For a filter the bandpass region must be the most like a line.
 

Re: linearity

mince,
There a couple of ways to define linearity. For amplifiers, perhaps the easiest and most intuitive is the following:
. If a plot of the output vs input is a straight line, then
. the system is linear
.
For amplifiers, a more mathematical description is:
.
For any function of x f(x):
If f(a+b) = f(a) + f(b), then the system is linear.
.
For filters, linearity refers to phase linearity:
If the phase shift of a filter is directly proportinal to frequency, then the filter has phase linearity. An implication of this is the all frequencies are delayed an equal amount with respect to time, and ther will be no waveform distorion.
Regards,
Kral
 

Re: linearity

Linearity is based on total harmonic distortion.

They give a measure of THD. In general,when u r designing a differential amplifier,we will have odd hamonics,as even harmonics cacel out. In odd harmonics,only third harmonic is major concern. THD will be the difference between third and first(fundamental) harmonic(approximately).Use the full formula to calculate.
 

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