The CMSIS DSP library (arm_math.h) includes the CMSIS core files (e.g.: core_cm4.h) but uses only the core generic part of the CMSIS core file. The core dependant part, which contains also the SysTick defines is not used and therefore not included. This is achieved with setting the define __CMSIS_GENERIC.
The CMSIS core file is also included in the device specific header file, which needs to be CMSIS compliant (as an example you can check file .\Keil\ARM\Device\ARM\ARMCM4\Include\ARMCM4.h)
If you want to use the CMSIS DSP library together with the CMSIS SysTick definitions you need to include both arm_math.h and CMSIS compliant device header file.
Now somehow Systick function is working. I don't know what was different in the first.
In my source code, arm_math.h is included and ARM_MATH_CM4 is defined in complier preprecessor setup.
Is that the point of the your comment - just including arm_math.h and armcm4.h will resolve the issue?
"arm_math.h" included has the following codes.
The function of the code below, what I expect is, to disable Systick if arm_math.h is included.
#define __CMSIS_GENERIC /* disable NVIC and Systick functions */
#if defined (ARM_MATH_CM4)
#warning "Define either ARM_MATH_CM4 OR ARM_MATH_CM3...By Default building on ARM_MATH_CM4....."
#endif /* I (Hyeong Han) think this is the end of block end starting with #ifdef_ARM_MATH_H, which means
the definition code enabling Systick functions is not entered if arm_math.h is included in the source code.
#undef __CMSIS_GENERIC /* enable NVIC and Systick functions */
Thank you Martin for your support.