1 /* ----------------------------------------------------------------------
2  * Project:      CMSIS DSP Library
3  * Title:        arm_hft144d_f64.c
4  * Description:  Floating-point (f64) Hft144d window
5  *
6  * $Date:        14 December 2022
7  * $Revision:    v1.15.0
8  *
9  * Target Processor: Cortex-M and Cortex-A cores
10  * -------------------------------------------------------------------- */
11 /*
12  * Copyright (C) 2010-2022 ARM Limited or its affiliates. All rights reserved.
13  *
14  * SPDX-License-Identifier: Apache-2.0
15  *
16  * Licensed under the Apache License, Version 2.0 (the License); you may
17  * not use this file except in compliance with the License.
18  * You may obtain a copy of the License at
19  *
20  * www.apache.org/licenses/LICENSE-2.0
21  *
22  * Unless required by applicable law or agreed to in writing, software
23  * distributed under the License is distributed on an AS IS BASIS, WITHOUT
24  * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
25  * See the License for the specific language governing permissions and
26  * limitations under the License.
27  */
28 
29 #include "dsp/window_functions.h"
30 #include "dsp/fast_math_functions.h"
31 #include <math.h>
32 /**
33   @ingroup groupWindow
34  */
35 
36 
37 
38 
39 /**
40   @addtogroup WindowFlat
41   @{
42  */
43 
44 
45 /**
46   @ingroup WindowHFT144D
47  */
48 
49 /**
50   @brief         Hft144d window generating function (f64).
51   @param[out]    pDst       points to the output generated window
52   @param[in]     blockSize  number of samples in the window
53 
54   @par Parameters of the window
55 
56   | Parameter                             | Value              |
57   | ------------------------------------: | -----------------: |
58   | Peak sidelobe level                   |          144.1 dB  |
59   | Normalized equivalent noise bandwidth |       4.5386 bins  |
60   | 3 dB bandwidth                        |       4.4697 bins  |
61   | Flatness                              |         0.0021 dB  |
62   | Recommended overlap                   |            79.9 %  |
63 
64 Included in CMSIS-DSP with authorization from professor
65 Gerhard Heinzel.
66 
67 @par Original article:
68 Spectrum and spectral density estimation by the Discrete Fourier
69 transform (DFT), including a comprehensive list of window
70 functions and some new
71 flat-top windows.
72 
73 @par Authors:
74 G. Heinzel, A. Rudiger and R. Schilling,
75 Max-Planck-Institut fur Gravitationsphysik
76 (Albert-Einstein-Institut)
77 Teilinstitut Hannover
78  */
79 
80 
81 
arm_hft144d_f64(float64_t * pDst,uint32_t blockSize)82 void arm_hft144d_f64(
83         float64_t * pDst,
84         uint32_t blockSize)
85 {
86    float64_t k = 2. / ((float64_t) blockSize);
87    float64_t w;
88 
89    for(uint32_t i=0;i<blockSize;i++)
90    {
91     w = PI_F64 * (i * k);
92         w =
93     (1.0 -
94      1.96760033 * cos (w) +
95      1.57983607 * cos (2. * w) -
96      0.81123644 * cos (3. * w) +
97      0.22583558 * cos (4. * w) -
98      0.02773848 * cos (5. * w) + 0.00090360 * cos (6. * w));
99 
100      pDst[i] = w;
101    }
102 }
103 
104 /**
105   @} end of WindowFlat group
106  */
107 
108