Continue to Site

Welcome to EDAboard.com

Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.

Register Log in

number of bit of noise after division operation

Status
Not open for further replies.
C

childs72

Member level 1
Joined
Apr 8, 2006
Messages
33
Helped
0
Reputation
0
Reaction score
0
Trophy points
1,286
Activity points
1,542
Hi,

I am working on digital RTL design, however, I have to overcome this technical problem (which I believe it came under DSP subject) in order to hit the spec:
1. I have inputs from ADC (A & B), says, 10 bits data which consists 2 bits of random noise. I perform a division Z=(A*2^10)/B. In this case, what will be the number of bits that consists noise in Z?
2. From my understanding, if I perform an addition Y=A+B, I shall get Y with only 1 bit of noise, because noise in A & B are being kinda "cancel off each other" (I do not know the proper term for this, anyone who knows may correct me), is this correct?

Thanks.
 

childs72 said:
Hi,

I am working on digital RTL design, however, I have to overcome this technical problem (which I believe it came under DSP subject) in order to hit the spec:
1. I have inputs from ADC (A & B), says, 10 bits data which consists 2 bits of random noise. I perform a division Z=(A*2^10)/B. In this case, what will be the number of bits that consists noise in Z?
2. From my understanding, if I perform an addition Y=A+B, I shall get Y with only 1 bit of noise, because noise in A & B are being kinda "cancel off each other" (I do not know the proper term for this, anyone who knows may correct me), is this correct?

Thanks.
Click to expand...

1). sqrt( 2-bits).
2).No, not 1-bit, again sqrt( 2). To get 1-bit in noise reduction you need 4 samples.
 

Division is a nonlinear operation. You need to refer to propagation of uncertainty calculation methods to determine the effective result noise. E.g. if B is small, Z noise will be very high.
 

Status
Not open for further replies.

Similar threads

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Back
Top