Unbiased signal-to-noise ratio estimation for receiver having channel estimation error
First Claim
1. A method for estimating channel noise power in binary phase shift keying (BPSK) modulated telecommunication, the method comprising:
- receiving over the channel a first known signal, the first known signal having an identified functional form;
after receiving the first known signal, formulating a channel transfer function estimate for the channel, the channel transfer function estimate being based on the first known signal and including a channel estimation error;
receiving over the channel a second BPSK signal, the second BPSK signal including noise having a power;
equalizing the second BPSK signal using the transfer function estimate; and
estimating the second BPSK signal noise power, the noise power being substantially independent of the channel estimation error;
wherein;
the estimating comprises combining the second BPSK signal and the channel transfer function estimate into a combination having a combination noise power that corresponds to the second BPSK signal noise power;
if the combination noise power is substantially equal to zero;
(a) a mathematical product of the second BPSK signal and the channel transfer function estimate is substantially equal to one and(b) the numerical value of the combination remains substantially constant when the estimation error changes; and
the combination noise power depends on;
(a) the mathematical product;
(b) a first sum resulting from the addition of squared combination signal values, each value corresponding to a different temporal segment of the combination signal; and
(c) a second sum resulting from the addition of the combination signal values.
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Abstract
Apparatus and methods for estimating transmission noise in a programming information signal. Channel noise power in binary phase shift keying (“BPSK”) modulated telecommunication may be estimated. Such a method may include receiving over the channel a reference signal and a data BPSK signal. The data BPSK signal may include the programming information. The method may include formulating a channel transfer function estimate for the channel based on the reference signal. The estimate may include a channel estimation error. The data BPSK signal may be equalized using the transfer function estimate. The data BPSK signal may include noise, which may be quantified in terms of power. The data BPSK signal noise power may be estimated in such a manner that is independent of the channel estimation error.
160 Citations
13 Claims
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1. A method for estimating channel noise power in binary phase shift keying (BPSK) modulated telecommunication, the method comprising:
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receiving over the channel a first known signal, the first known signal having an identified functional form; after receiving the first known signal, formulating a channel transfer function estimate for the channel, the channel transfer function estimate being based on the first known signal and including a channel estimation error; receiving over the channel a second BPSK signal, the second BPSK signal including noise having a power; equalizing the second BPSK signal using the transfer function estimate; and estimating the second BPSK signal noise power, the noise power being substantially independent of the channel estimation error;
wherein;the estimating comprises combining the second BPSK signal and the channel transfer function estimate into a combination having a combination noise power that corresponds to the second BPSK signal noise power; if the combination noise power is substantially equal to zero; (a) a mathematical product of the second BPSK signal and the channel transfer function estimate is substantially equal to one and (b) the numerical value of the combination remains substantially constant when the estimation error changes; and the combination noise power depends on; (a) the mathematical product; (b) a first sum resulting from the addition of squared combination signal values, each value corresponding to a different temporal segment of the combination signal; and (c) a second sum resulting from the addition of the combination signal values. - View Dependent Claims (2)
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3. A method for estimating channel noise power in binary phase shift keying (BPSK) modulated telecommunication, the method comprising:
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receiving over the channel a first known signal, the first known signal having an identified functional form; after receiving the first known signal, formulating a channel transfer function estimate for the channel, the channel transfer function estimate being based on the first known signal and including a channel estimation error; receiving over the channel a second BPSK signal, the second BPSK signal including noise having a power; equalizing the second BPSK signal using the transfer function estimate; and estimating the second BPSK signal noise power, the noise power being substantially independent of the channel estimation error;
wherein;the estimating comprises combining the second BPSK signal and the channel transfer function estimate into a combination having a combination noise power that corresponds to the second BPSK signal noise power; if the combination noise power is substantially equal to zero; (a) a mathematical product of the second BPSK signal and the channel transfer function estimate is substantially equal to one; and (b) the numerical value of the combination remains substantially constant when the estimation error changes; and the estimating further comprises splitting the combination into a first part and a second part, the first part corresponding to a real value and the second part corresponding to an imaginary value wherein the estimating further comprises feeding the first part of the combination into both a first adding device and a first multiplying device. - View Dependent Claims (4, 5, 6, 7, 8)
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9. Apparatus for estimating noise power in a binary phase shift keying (BPSK) modulated signal transmitted over a channel, the signal having a noise power, the apparatus comprising:
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a preconditioning circuit comprising a first preconditioning output port and a second preconditioning output port, the first preconditioning output port corresponding to a real part of the signal, the second preconditioning output port corresponding to an imaginary part of the signal; and a logic circuit in communication with the first and second preconditioning output ports, the logic circuit comprising;
a first logic output port, a second logic output port and a third logic output port;wherein; the first logic output port provides a first value; the second logic output port provides a second value; the third logic output port provides a third value; and the first, second and third values together define an estimate of the noise power that is independent of channel transfer function estimation error. - View Dependent Claims (10, 11, 12, 13)
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Specification