its 9600 bytes. as the voice frequency irange is in between 16-20,so sampling frequency must be grater than 40hz,so number of samples in 4min=40*240=9600 samples hemce we need a memory of 9600 bytes to store the voice signal
vignyan
Aug 22nd, 2005
Its just 1440 bytes. Bandpass sampling frequency is just 6Hz. so just 6*240 bytes.
raj
Feb 28th, 2006
would u plz explain how it is 1440 bytes??????????????
prem kiran
Aug 1st, 2006
since the signal is in the band 16-20 HZ . bandwidth is 4HZ and so 8HZ sampling rate enough..i.e 8 s/sec. 4min=240sec.
4min duration has 8*240 samples
and each sample has 8 bits ,so min required memory is 8*8*240=1920 bytes
Sundeep Borra
Aug 8th, 2006
It's 1920Bytes. As the bandwidth (f2-f1) is 20-16=4Hz. The sampling frequency should be twice the bandwidth (2B). the sampling frequency is 8Hz= 8 samples= 8 cycles/second.
4 minutes=(4*60) =240 Seconds
1sample->1 Byte
1Second->8 Samples
240 Seconds->(240*8) = 1920 Samples
krishna
Dec 30th, 2006
band width : 4Hzsampling freq : 2*4(=8)Hz or above4 minutes = 4*60secs = 240 secsnumber of byte required minimum = 240*8=1920 bytes
janani
May 16th, 2007
Two things i wish to point here.
1) They have said that they are representing each sample by 8 bits. which implies that the sampling frequency is quite high. and that for one cycle of the minimum freq we get 256 samples.
2) Regarding the criterion that the sampling frequency should be twice of the bandwidth. this is applicable only when we are dealing with base band signal. whereas here it is pass band (since 16 to 20 is significant in our case).
So the sampling frequency should be quite high considering the two facts.
Faheem
Jul 12th, 2007
Nyquist–Shannon sampling theorem states that perfect reconstruction of a signal is possible when the sampling frequency is greater than twice the maximum frequency of the signal being sampled...so imagine sampling a 16Hz signal with 8hz...there's gonna be a sample every 2 cycles!..it has to be 40
banwidth of signal=4Hz according to niquist theorem sampling frequency>=2*bandwidth so sampling freq=2*4Hz(8 samples /sec) 1 samples is stored as 1 byte so 8*8 bits/sec so for 4 mins bits are = (4*60)*(64)=15KB so asn is 15 KB .
Voice signal is sampled at 8000 samples per second. (Human voice is in the range of 300Hz-3400Hz, and according to nyquist sampling rate we take it more than double the rate).
For a 4 min. voice signal, we have
Memory = 4*60*8000 Bytes = 1875KB = 1.83 MB.
adi
Sep 30th, 2012
bt practically i required 1.07 mb to record 1.31 min speech,
any1 kno its calculation?
A voice signal sample is stored as one byte. Frequency range is 16 Hz to 20 Hz. What is the memory size required to store 4 minutes voice signal?
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