Why can't I declare an array of size 1024 int (Fault ISR.)? (Tiva C launchpad TM4C123G)

Using Tiva C launchpad TM4C123GXL
I am actually trying to make a device to FFT tri-axial acceleration readings.

I need 1024 samples to FFT them. once I try declaring the first array .. the debugger takes me to fault ISR.

Here is my simple main.

main(void)
{
int ArrX[1024]={0}; // the system lags here, and when I try debugging this line takes me to fault ISR.
int ArrY[1024]={0};
int ArrZ[1024]={0};
uint8_t i2c_data;
uint8_t dev_id[2];
int j =0,i=0;
signed int accelerationX, accelerationY, accelerationZ;

//
// Enable lazy stacking for interrupt handlers. This allows floating-point
// instructions to be used within interrupt handlers, but at the expense of
// extra stack usage.
//
ROM_FPULazyStackingEnable();

//
// Set the clocking to run directly from the crystal.
//
ROM_SysCtlClockSet(SYSCTL_SYSDIV_4 | SYSCTL_USE_PLL | SYSCTL_XTAL_16MHZ |
SYSCTL_OSC_MAIN);

//
// Enable the GPIO port that is used for the on-board LED.
//
ROM_SysCtlPeripheralEnable(SYSCTL_PERIPH_GPIOF);

//
// Enable the GPIO pins for the LED (PF2 & PF3).
//
ROM_GPIOPinTypeGPIOOutput(GPIO_PORTF_BASE, GPIO_PIN_2);

//
// Initialize the UART.
//
ConfigureUART();

//
// Hello!
//
UARTprintf("Hello!\n");

/*I2C initialization with accelerometer interface*/
init_ADXL345_Accelerometer();

UARTprintf("Init done\n");

i2c_data = getAccelerometer_ID();
dev_id[0] = ((i2c_data & 0xF0) >> 4) + 0x30 + 0x07;
dev_id[1] = (i2c_data & 0x0F) + 0x30;

SetPowerMode(0x01);



while(1)
{

accelerationX = getAcceleration_X();

accelerationY = getAcceleration_Y();

accelerationZ = getAcceleration_Z();

if (accelerationX||accelerationY||accelerationZ)
{
ArrX[i]=accelerationX;
ArrY[i]=accelerationY;
ArrZ[i++]=(accelerationZ+200);
}
if (i==1024)
{
for(i=0;i<1024;i++)
UARTprintf("Acceleration X[%d]= %d\nAcceleration Y[%d]= %d\nAcceleration Z[%d]= %d\n",i,ArrX[i],i,ArrX[i],i,ArrX[i]);
i=0;
}
//
// Turn on the BLUE LED.
//
GPIOPinWrite(GPIO_PORTF_BASE, GPIO_PIN_2, GPIO_PIN_2);
/*
Here I will put my FFT function.
*/
}
}

Regards.