A Computationally Efficient Iterative Algorithm for Estimating the Parameter of Chirp Signal Model

Table 2

The average estimates of the initial and proposed estimator based on 100 replications, as well as the corresponding SRMSEs and SRAVs of the frequency rate.

𝜎^2	EST	𝑁=100	𝑁=200	𝑁=300	𝑁=400	𝑁=500	𝑁=1000
0.5	Initial	0.477903	0.489394	0.493829	0.496041	0.497366	0.499513
	Proposed	0.500008	0.499996	0.500005	0.500001	0.499997	0.499999
	SRMSEs	1.9842𝑒−4	5.7211𝑒−5	3.6321𝑒−5	2.1014𝑒−5	1.3988𝑒−5	5.2447𝑒−6
	Parameter	0.500000	0.500000	0.500000	0.500000	0.500000	0.500000
	SRAVs	1.5542𝑒−4	5.4535𝑒−5	2.9611𝑒−5	1.9209𝑒−5	1.3734𝑒−5	4.8412𝑒−6
1.0	Initial	0.478854	0.489394	0.493829	0.496941	0.493829	0.499014
	Proposed	0.500028	0.500007	0.500001	0.500005	0.500006	0.499998
	SRMSEs	3.6698𝑒−4	1.3035𝑒−4	6.1187𝑒−5	4.2708𝑒−5	2.9261𝑒−5	9.7988𝑒−6
	Parameter	0.500000	0.500000	0.500000	0.500000	0.500000	0.500000
	SRAVs	3.1084𝑒−4	1.0907𝑒−4	5.9221𝑒−5	3.8417𝑒−5	2.7468𝑒−5	9.6680𝑒−6
1.5	Initial	0.479807	0.489394	0.493829	0.496041	0.497366	0.499014
	Proposed	0.499814	0.500017	0.500015	0.500006	0.500008	0.500000
	SRMSEs	1.5133𝑒−3	1.8844𝑒−4	1.0105𝑒−4	5.7788𝑒−5	4.2860𝑒−5	1.4524𝑒−5
	Parameter	0.500000	0.500000	0.500000	0.500000	0.500000	0.500000
	SRAVs	4.6625𝑒−4	1.6361𝑒−4	8.8832𝑒−5	5.7626𝑒−5	4.1203𝑒−5	1.4502𝑒−5