The basic idea of decoupling is to keep the power supply voltage stable when the amplifier takes a sudden gulp of current.
If the power supply voltage changes , it will affect the amplifier's output slightly. By how much is indicated by the amplifier's "Power Supply rejection Ratio" .
That is given in the datasheet, at
http://www.st.com/content/ccc/resou...df/jcr:content/translations/en.CD00000131.pdf
page 3
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as only 45 db@100 hz.
Since the amplifier has feedback, that change in output will get coupled around to the input
and when phase shift becomes 180 degrees what was intended as negative feedback becomes positive and it'll oscillate.
Power supply rejection typically becomes less as frequency increases so it's important to have steady voltage right at the amplifier pins.See this application note
http://www.analog.com/media/en/training-seminars/tutorials/MT-043.pdf
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Since each type of device has its own gain, frequency response, and power supply rejection ratio , selection of decoupling capacitors is best left to the designer of the device. He will give you his suggested values. Here's what he put in the TDA2050 datasheet for you to use.
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It is important they be located physically close to the amplifier pins so as to minimize inductance of the interconnecting wires.That Analog Devices tutorial makes it clear why you need both a low frequency and a high frequency bypass capacitor. That's C10 and C5 (and C6 & C9) in your example.
I don't know what is the purpose of the 100 uf C7 in your example.
And that's the best answer i can give.