kindly suggest some matlab program or any mathematical formalism
Please see an example of the 1/3 octave bank filter design and other usefull tools.
mathworks.com/help/dsp/examples/octave-band-and-fractional-octave-band-filters.html
Also I highly recommend you to look at the Brüel&Kjaer Library offered excellent research articles regarding the noise and vibration measurement and processing.
http://www.bksv.com/Library
Best regards
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