IP Library Granted Patent US 7,711,073
Granted Patent B2
US 7,711,073 · App. 11/127,805 · Granted May 4, 2010

Method and circuit arrangement for determining the frequency of a received signal for demodulation of received signals

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Quick Facts
Patent No.
US 7,711,073
App. No.
11/127,805
Granted
May 4, 2010
Kind
B2
Abstract

The invention relates to a method and a circuit arrangement for determining the carrier frequency difference during the demodulating of received symbols (P 1 , P 2 ) in the complex phase space (I, Q; R, α) of a quadrature modulation method (QAM), wherein to determine the frequency the received symbols are compared with symbols (S 1 , S 2 ) at nominal positions in the complex signal space. In order to make the determination independent of a rotation of the coordinate system of the received signals with respect to the coordinate system of the symbols, it is proposed to determine the angle (∠(P 1 , P 2 )) between two received signal values (P 1 , P 2 ) and compare it to possible nominal angles of the quadrature modulation method. An angle deviation between the determined angle of the received signal values and the nominal angle can be used as a direct measure of a frequency deviation (Δf).

Claims (33)

1. A method for determining the frequency of a received signal for demodulating received signal values (P 1 , P 2 ) in the complex phase space (I, Q) of a modulation technique wherein for the frequency determination the received signal values (P 1 , P 2 ) are compared with symbols (S 1 , S 2 ) at nominal positions in the complex signal space, the method comprising:

converting a first received signal value P 1 and a second received signal value P 2 of a quadrature amplitude modulated signal from Cartesian coordinate space to polar coordinate space to provide a first radial component and a first angle component indicative of the first received signal value P 1 and a second radial component and a second angle component indicative of the second received signal value P 2 ;

determining the difference between the first angle component and the second angle component and providing a difference signal indicative thereof;

comparing the difference signal against a plurality of nominal angles associated with the modulation technique and determining which of the plurality of nominal angles is closest to the difference signal as a measure for a frequency offset (Δf) and providing a first control signal indicative thereof; and

comparing an equalized signal (S) and an estimated symbol (Se) to provide an angle error signal;

controlling a voltage controlled oscillator using the first control signal when the value of the first control signal is greater than a threshold value, otherwise controlling the voltage controlled oscillator using a second control signal indicative of the angle error signal;

where the converting, the determining, the comparing the received signal values, comparing the difference signal and the controlling are implemented in a circuit arrangement configured for demodulation.

2. The method of claim 1 , wherein the difference angle is determined for the first and second signal values P 1 , P 2 received in succession at predetermined intervals and compared to correspondingly possible nominal angles.

3. The method of claim 1 , wherein the difference angle is determined for the first and second received signal values P 1 , P 2 in the range of various possible radii for the quadrature modulation method and compared to nominal angles.

4. The method of claim 1 , wherein the difference angle is determined for received signal values on the most unambiguously determinable radii in the symbol alphabet.

5. The method of claim 1 , wherein the difference angle is determined for received signal values P 1 , P 2 in the region of positions of selected nominal symbols (S 1 , S 2 ).

6. The method of claim 1 , wherein a plurality of angles is determined, compared, and considered in common to determine the frequency offset (Δf), for a joint and/or iterative improvement of the frequency determination.

7. The method of claim 1 , wherein the difference angle is used for the onetime frequency correction and demodulation and/or as input signal for a future frequency control.

8. The method of claim 1 , wherein the information derived from the difference angle is used to identify the symbols involved.

9. The method of claim 6 , wherein the positions of received symbols are mapped in a single quadrant of the complex plane (I, Q) to determine the difference angle.

10. The method of claim 9 , wherein after determining the difference angle in only one quadrant, the signs of a determined symbol are added back appropriately or the symbol is again rotated into the proper quadrant.

11. The method of claim 9 , wherein only received signal values (P 1 , P 2 ) within tolerance ranges (ΔR) about possible nominal radii are considered.

12. The method of claim 11 , wherein received signal values (P 1 , P 2 ) within the tolerance ranges (ΔR) about possible nominal radii are coordinated with radius groups and used to define a selection of nominal angles.

13. A system for determining the frequency of a received signal for demodulating received signal values (P 1 , P 2 ) in the complex phase space of a modulation technique wherein received signal values (P 1 , P 2 ) are compared with symbols (S 1 , S 2 ) at nominal positions in the complex signal space, the system comprising:

an angle error determining unit that receives and compares an equalized signal (S) and an estimated symbol (Se) to provide an angle error signal;

a frequency determining device that determines the angle between two received signal values (P 1 , P 2 ) in the complex plane;

a nominal angle managing device that stores nominal angles for different combinations of symbols (S 1 , S 2 ) corresponding to nominal positions for the quadrature modulation method and optional storing of coordinated radii;

a comparator that assigns the determined angle to at least one nearby corresponding nominal angle from the nominal angle managing device and determines an angle deviation between these as a measure of frequency offset (Δf) and provides a first control signal indicative thereof; and

means for controlling a voltage controlled oscillator using the first control signal when the value of the first control signal is greater than a threshold value, otherwise controlling the voltage controlled oscillator using a second control signal indicative of the angle error signal.

14. The system of claim 13 , where the means for controlling comprises a proportional and integral controller that receives the first and second control signals and provides a voltage control signal to the voltage controlled oscillator.

15. A method for determining the frequency of a received signal for demodulating received signal values (P 1 , P 2 ) in the complex phase space (I, Q) of a modulation technique wherein for the frequency determination the received signal values (P 1 , P 2 ) are compared with symbols ( 51 , S 2 ) at nominal positions in the complex signal space, the method comprising:

converting a first received signal value P 1 and a second received signal value P 2 of a quadrature amplitude modulated signal from Cartesian coordinate space to polar coordinate space to provide a first radial component and a first angle component indicative of the first received signal value P 1 and a second radial component and a second angle component indicative of the second received signal value P 2 ;

determining the difference between the first angle component and the second angle component and providing a difference signal indicative thereof;

comparing the difference signal against a plurality of nominal angles associated with the modulation technique and determining which of the plurality of nominal angles is closest to the difference signal as a measure for a frequency offset (Δf) and providing a first control signal indicative thereof; and

comparing an equalized signal (S) and an estimated symbol (Se) to provide an angle error signal;

controlling a voltage controlled oscillator using the first control signal when the value of the first control signal is greater than a threshold value, otherwise controlling the voltage controlled oscillator using a second control signal indicative of the angle error signal;

where the converting, the determining, the comparing the received signal values, comparing the difference signal and the controlling are performed in a circuit arrangement,

wherein the difference angle is determined for the first and second received signal values P 1 , P 2 in the range of various possible radii for the quadrature modulation method and compared to nominal angles.

Assignments (9)
SECURITY AGREEMENT Recorded Jul 9, 2021
From: MAXLINEAR, INC.; MAXLINEAR COMMUNICATIONS, LLC; EXAR CORPORATION
To: WELLS FARGO BANK, NATIONAL ASSOCIATION
Reel/Frame 056816/0089 →
RELEASE OF SECURITY INTEREST Recorded Jun 23, 2021
From: MUFG UNION BANK, N.A.
To: MAXLINEAR, INC.; EXAR CORPORATION; MAXLINEAR COMMUNICATIONS LLC
Reel/Frame 056656/0204 →
SUCCESSION OF AGENCY (REEL 042453 / FRAME 0001) Recorded Jul 1, 2020
From: JPMORGAN CHASE BANK, N.A.
To: MUFG UNION BANK, N.A.
Reel/Frame 053115/0842 →
SECURITY AGREEMENT Recorded May 12, 2017
From: MAXLINEAR, INC.; ENTROPIC COMMUNICATIONS, LLC (F/K/A ENTROPIC COMMUNICATIONS, INC.); EXAR CORPORATION
To: JPMORGAN CHASE BANK, N.A., AS COLLATERAL AGENT
Reel/Frame 042453/0001 →
MERGER AND CHANGE OF NAME Recorded May 19, 2015
From: ENTROPIC COMMUNICATIONS, INC.; EXCALIBUR SUBSIDIARY, LLC; ENTROPIC COMMUNICATIONS, LLC
To: ENTROPIC COMMUNICATIONS, LLC
Reel/Frame 035717/0628 →
MERGER AND CHANGE OF NAME Recorded May 18, 2015
From: EXCALIBUR ACQUISITION CORPORATION; ENTROPIC COMMUNICATIONS, INC.; ENTROPIC COMMUNICATIONS, INC.
To: ENTROPIC COMMUNICATIONS, INC.
Reel/Frame 035706/0267 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded May 2, 2012
From: TRIDENT MICROSYSTEMS, INC.; TRIDENT MICROSYSTEMS (FAR EAST) LTD.
To: ENTROPIC COMMUNICATIONS, INC.
Reel/Frame 028146/0054 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Aug 25, 2009
From: MICRONAS GMBH
To: TRIDENT MICROSYSTEMS (FAR EAST) LTD.
Reel/Frame 023134/0885 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Jul 5, 2005
From: BOCK, CHRISTIAN; NOESKE, CARSTEN
To: MICRONAS GMBH
Reel/Frame 016468/0232 →