How to Recover the the Carrier Signal from SSB Transmitted Signal?

Hello,
     I am doing my project on the Applications of the Hilbert Transform
and Digital Differentiators.
Now I have designed the Single Side Band Amplitude Modulated (SSB AM)
signal using the Hilbert Transorm i.e. I have completed the Transitter
side (Modulator). But I have some problems on the Receiver end
(Demodulator). I dont know that how to recover the Carrier Signal from
Received (SSB) Signal. The Received Signal is:

M(t)=m(t)*cos(wc*t) -/+ hilbert[m(t)]*hilbert[cos(wc*t)]

Where:
     M(t) is the Modulated signal (Received Signal)
     m(t) is the message signal
     wc is the carrier frequency
     -/+ means  Lower SSB / upper SSB

I want to recover the "wc" from M(t). Please any one can help me as soon
as possible.
Thanks.............

bangash wrote:
> Hello,
>      I am doing my project on the Applications of the Hilbert Transform
> and Digital Differentiators.
> Now I have designed the Single Side Band Amplitude Modulated (SSB AM)
> signal using the Hilbert Transorm i.e. I have completed the Transitter
> side (Modulator). But I have some problems on the Receiver end
> (Demodulator). I dont know that how to recover the Carrier Signal from
> Received (SSB) Signal. The Received Signal is:
> 
> M(t)=m(t)*cos(wc*t) -/+ hilbert[m(t)]*hilbert[cos(wc*t)]
> 
> Where:
>      M(t) is the Modulated signal (Received Signal)
>      m(t) is the message signal
>      wc is the carrier frequency
>      -/+ means  Lower SSB / upper SSB
> 
> I want to recover the "wc" from M(t). Please any one can help me as soon
> as possible.

Most single-sideband transmissions don't include a carrier. "SSSC" 
stands for "single sideband, suppressed carrier" There is no carrier to 
recover unless a pilot carrier is injected by a slight modulator 
imbalance. Then a phase-locked loop will do.

Jerry
-- 
Engineering is the art of making what you want from things you can get.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Jerry is correct.  In a properly designed and adjusted SSB system there is no 
carrier and nothing to use to recover the carrier.  

Some older systems included a technique (single sideband reduced carrier) 
where some carrier frequency was added into the output to allow a PLL or other 
technique to regenerate the carrier in the local receiver.  

Other techniques include generating the carrier using precision local 
oscillators in the transmitter and receiver.  This is what is more generally 
done in modern SSB receivers since precision oscillators and direct digital 
systhesis is cheap and readily available.

For voice work, SSB provides good intelligibillity with 
receiver/transmitter carrier frequency differences that are as much as 30 Hz.  
Digital systems may require more accuracy or not depending on design 
specifics.

In article <0a-dnWQHM47YGZvbnZ2dnUVZ_tjinZ2d@rcn.net>, jya@ieee.org wrote:
>bangash wrote:
>> Hello,
>>      I am doing my project on the Applications of the Hilbert Transform
>> and Digital Differentiators.
>> Now I have designed the Single Side Band Amplitude Modulated (SSB AM)
>> signal using the Hilbert Transorm i.e. I have completed the Transitter
>> side (Modulator). But I have some problems on the Receiver end
>> (Demodulator). I dont know that how to recover the Carrier Signal from
>> Received (SSB) Signal. The Received Signal is:
>> 
>> M(t)=m(t)*cos(wc*t) -/+ hilbert[m(t)]*hilbert[cos(wc*t)]
>> 
>> Where:
>>      M(t) is the Modulated signal (Received Signal)
>>      m(t) is the message signal
>>      wc is the carrier frequency
>>      -/+ means  Lower SSB / upper SSB
>> 
>> I want to recover the "wc" from M(t). Please any one can help me as soon
>> as possible.
>
>Most single-sideband transmissions don't include a carrier. "SSSC" 
>stands for "single sideband, suppressed carrier" There is no carrier to 
>recover unless a pilot carrier is injected by a slight modulator 
>imbalance. Then a phase-locked loop will do.
>
>Jerry